The document describes slides used in a tutorial that are color coded to indicate different types of problems. Red slides involve word problems, tan slides involve matching concepts, and olive slides involve reading data tables. Green slides involve graphing. It then provides examples of different physics problems and their solutions, involving concepts like displacement, velocity, acceleration, forces, and kinematics.
The document provides information about color-coded slides used in an online physics tutorial. Slides with different colored backgrounds relate to different physics concepts: red for word problems, tan for matching concepts, and olive for reading data tables. The document also includes example slides on these topics, as well as slides involving graphing. Additional slides provide physics equations, examples of calculating physics quantities like velocity and frequency, and graphs related to energy.
The document describes slides used in a video that are color coded to indicate different types of problems or concepts. Slides with red backgrounds involve word matching problems. Slides with tan backgrounds involve concepts. Slides with green backgrounds involve graphing. Slides with olive backgrounds involve reading data tables. The document then provides examples of physics problems and solutions related to motion.
The document describes slides used in a video that are color coded to indicate different types of problems or concepts. Slides with red backgrounds involve word matching problems. Slides with tan backgrounds involve concepts. Slides with green backgrounds involve graphing. Slides with olive backgrounds involve reading data tables. The document then provides examples of physics problems and solutions related to motion.
The document describes different colored slides used in a video. Slides with red backgrounds involve word matching problems. Slides with tan backgrounds involve concepts. Slides with green backgrounds involve graphing. Slides with olive backgrounds involve reading data tables.
The document describes slides used in a video that are color coded to indicate different types of problems or concepts. Slides with red backgrounds involve word matching problems. Slides with tan backgrounds involve concepts. Slides with green backgrounds involve graphing. Slides with olive backgrounds involve reading data tables. The document then provides examples of physics problems and solutions related to motion, forces, and other concepts.
Kinematics of a Particle document discusses:
1) Kinematics involves describing motion without considering forces, studying how position, velocity, and acceleration change over time for a particle.
2) Rectilinear motion involves a particle moving along a straight line, where position (x) is defined as the distance from a fixed origin, velocity (v) is the rate of change of position over time, and acceleration (a) is the rate of change of velocity over time.
3) Examples are provided to demonstrate solving kinematics problems using differentiation, integration, and relationships between position, velocity, acceleration graphs. Problems involve determining velocity, acceleration, distance or displacement given various relationships between these quantities.
This PPT covers linear motion of an object in a very systematic and lucid manner. I hope this PPT will be helpful for instructor's as well as students.
The document discusses particle kinematics and concepts such as displacement, velocity, acceleration, and their relationships for rectilinear and curvilinear motion. Key concepts covered include definitions of displacement, average and instantaneous velocity, acceleration, graphical representations of position, velocity, and acceleration over time, and analytical methods for solving kinematic equations involving constant or variable acceleration. Several sample problems are provided to illustrate applying these kinematic concepts and relationships to solve for variables like time, velocity, acceleration, and displacement given relevant conditions.
The document provides information about color-coded slides used in an online physics tutorial. Slides with different colored backgrounds relate to different physics concepts: red for word problems, tan for matching concepts, and olive for reading data tables. The document also includes example slides on these topics, as well as slides involving graphing. Additional slides provide physics equations, examples of calculating physics quantities like velocity and frequency, and graphs related to energy.
The document describes slides used in a video that are color coded to indicate different types of problems or concepts. Slides with red backgrounds involve word matching problems. Slides with tan backgrounds involve concepts. Slides with green backgrounds involve graphing. Slides with olive backgrounds involve reading data tables. The document then provides examples of physics problems and solutions related to motion.
The document describes slides used in a video that are color coded to indicate different types of problems or concepts. Slides with red backgrounds involve word matching problems. Slides with tan backgrounds involve concepts. Slides with green backgrounds involve graphing. Slides with olive backgrounds involve reading data tables. The document then provides examples of physics problems and solutions related to motion.
The document describes different colored slides used in a video. Slides with red backgrounds involve word matching problems. Slides with tan backgrounds involve concepts. Slides with green backgrounds involve graphing. Slides with olive backgrounds involve reading data tables.
The document describes slides used in a video that are color coded to indicate different types of problems or concepts. Slides with red backgrounds involve word matching problems. Slides with tan backgrounds involve concepts. Slides with green backgrounds involve graphing. Slides with olive backgrounds involve reading data tables. The document then provides examples of physics problems and solutions related to motion, forces, and other concepts.
Kinematics of a Particle document discusses:
1) Kinematics involves describing motion without considering forces, studying how position, velocity, and acceleration change over time for a particle.
2) Rectilinear motion involves a particle moving along a straight line, where position (x) is defined as the distance from a fixed origin, velocity (v) is the rate of change of position over time, and acceleration (a) is the rate of change of velocity over time.
3) Examples are provided to demonstrate solving kinematics problems using differentiation, integration, and relationships between position, velocity, acceleration graphs. Problems involve determining velocity, acceleration, distance or displacement given various relationships between these quantities.
This PPT covers linear motion of an object in a very systematic and lucid manner. I hope this PPT will be helpful for instructor's as well as students.
The document discusses particle kinematics and concepts such as displacement, velocity, acceleration, and their relationships for rectilinear and curvilinear motion. Key concepts covered include definitions of displacement, average and instantaneous velocity, acceleration, graphical representations of position, velocity, and acceleration over time, and analytical methods for solving kinematic equations involving constant or variable acceleration. Several sample problems are provided to illustrate applying these kinematic concepts and relationships to solve for variables like time, velocity, acceleration, and displacement given relevant conditions.
This document discusses kinematics, which is the geometry of motion without considering forces. It defines key concepts like displacement, velocity, acceleration, and their relationships. It presents four kinematic equations and provides examples of using these equations and graphs of position-time and velocity-time to solve kinematics problems for objects undergoing uniform and non-uniform acceleration.
This chapter discusses kinematics of linear motion, including:
1) It defines kinematics as the study of motion without considering forces, and describes linear and projectile motion.
2) It introduces key concepts such as displacement, speed, velocity, acceleration and their relationships. Equations for these quantities under constant and uniformly accelerated motion are provided.
3) It describes motion under constant acceleration due to gravity, known as freely falling bodies, and provides the relevant equations.
Curvilinear motion occurs when a particle moves along a curved path.
Since this path is often described in three dimensions, vector analysis will
be used to formulate the particle's position, velocity, and acceleration
This document provides an introduction to linear kinematics. It discusses key linear kinematic variables like distance, displacement, speed, velocity, and acceleration. It defines these variables and the units used to measure them. It also describes the difference between scalar and vector quantities as they relate to motion. Examples of single-point and multi-segment models for describing motion are provided. Equations for calculating speed, velocity, and acceleration from changes in distance, displacement, and time are shown. Projectile motion is also summarized, including the independent vertical and horizontal components of projectile motion.
1) The document describes curvilinear motion and how to analyze the motion of objects moving along curved paths using rectangular components.
2) It provides examples of how to determine the velocity and acceleration of planes in formation and a roller coaster car moving along a fixed helical path using their x, y, and z coordinates.
3) The document also gives an example problem solving for the collision point and speeds of two particles moving along curved paths given their position vectors as functions of time.
Physics 504 Chapter 9 Uniform Rectilinear MotionNeil MacIntosh
This document discusses uniform rectilinear motion. It defines different types of motion including rectilinear, curvilinear, and random motion. Distance is defined as a scalar quantity representing how far an object has moved, while displacement is a vector quantity that includes both distance and direction. Uniform motion refers to motion at a constant speed in a single direction. Graphs of distance-time and velocity-time relationships are used to analyze motion. The average velocity and speed can be calculated from these graphs by determining slope.
This document discusses the kinematics of particles in rectilinear and curvilinear motion. It defines key concepts like position, displacement, velocity, and acceleration for both continuous and erratic rectilinear motion. Examples are provided to demonstrate how to construct velocity-time and acceleration-time graphs from a given position-time graph, and vice versa. The chapter then discusses general curvilinear motion, defining position, displacement, velocity, and acceleration using vector analysis since the curved path is three-dimensional. Fundamental problems and practice problems are also included.
The document discusses acceleration and related concepts:
- Acceleration is the change in velocity per unit of time and is a vector quantity. It results from an applied force and is proportional to the force's magnitude.
- Velocity is speed in a given direction, while speed is the distance traveled per time and does not consider direction.
- Average acceleration is calculated as the change in velocity divided by the time interval. Instantaneous acceleration is the slope of the velocity-time graph at an instant.
- Examples demonstrate calculating average speed and acceleration from initial and final velocities and time intervals. Direction and signs of displacement, velocity, and acceleration must be considered carefully.
This document discusses key concepts in kinematics including:
- Kinematics is the study of motion without considering causes. It focuses on rectilinear or straight-line motion.
- Displacement is a vector quantity that describes the shortest distance between initial and final positions, while distance is a scalar quantity describing the actual path traveled.
- Uniform motion occurs when equal displacements happen in equal time intervals, resulting in a straight line on a position-time graph. Non-uniform motion has acceleration.
The document discusses key concepts in physics related to motion including speed, velocity, acceleration, distance-time graphs, Newton's laws of motion, and kinetic and potential energy. It defines these terms, provides their SI units, and gives examples to illustrate the concepts. It also presents equations for calculating average speed, acceleration, distance traveled with uniform acceleration, and kinetic and potential energy.
This document discusses motion in a straight line. It defines one-dimensional motion as motion along a straight line where only one coordinate changes over time, such as a block moving along a track. It also discusses displacement, distance, speed, velocity, uniform motion, and the three equations of motion - relating velocity, acceleration, time, displacement, and initial/final velocities. The equations are derived using calculus, integrating expressions for acceleration, velocity, and position as derivatives of each other with respect to time.
Force may cause motion or deformation of an object. Newton's second law relates the net force on an object to its acceleration. An example calculates the engine force needed to accelerate a car based on its mass, acceleration, and frictional force. The document provides additional examples applying Newton's laws to calculate accelerations, forces, distances, and times for objects undergoing different motions.
The document discusses equations for calculating velocity, acceleration, displacement, and time for objects moving with constant velocity or uniform acceleration. It provides the key equations:
1) For constant velocity, average velocity (v) equals displacement (Δx) over time (Δt), and displacement equals velocity times time.
2) For uniform acceleration, final velocity (vf) equals initial velocity (v0) plus acceleration (a) times time (Δt), and displacement equals initial velocity times time plus one-half acceleration times time squared.
3) A single equation relates displacement, initial velocity, final velocity, and acceleration, which can be rearranged to solve for any of those variables.
This document discusses motion, speed, and velocity. It defines motion as a change in an object's position over time relative to a reference point. Speed is defined as the distance traveled divided by the time taken, while velocity includes both speed and direction of movement. An example calculates the speed of a horse that traveled 20 meters in 20 seconds as 1 meter per second.
Learn Online Courses of Subject Engineering Mechanics of First Year Engineering. Clear the Concepts of Engineering Mechanics Through Video Lectures and PDF Notes. Visit us: https://ekeeda.com/streamdetails/subject/Engineering-Mechanics
This document discusses vectors and their properties. It provides examples of vector addition and multiplication. Some key points:
- Vectors have both magnitude and direction, while scalars only have magnitude. Vector addition follows the triangle and parallelogram laws.
- There are two types of vector multiplication: the dot product, which results in a scalar, and the cross product, which results in another vector.
- The dot product of two vectors is equal to their magnitudes multiplied by the cosine of the angle between them. It is used to calculate quantities like work and power.
- Vectors can be resolved into rectangular components using a set of base vectors like the i, j, k unit vectors. The magnitude
The document discusses kinematics in one dimension, including definitions of distance, displacement, speed, velocity, acceleration, and how to determine the signs of displacement, velocity, and acceleration. It provides examples of how to solve problems involving initial and final velocity, acceleration, displacement, and time for objects undergoing uniform acceleration. Key concepts covered include average and instantaneous velocity, graphical analysis of position vs time and velocity vs time graphs, and formulas for constant acceleration including the relationships between displacement, initial/final velocities, time, and acceleration.
This document discusses key kinematic concepts including displacement, speed, velocity, acceleration, average velocity, instantaneous velocity, and uniformly accelerated motion. It defines these terms and discusses how to calculate them using equations of motion. Graphical representations of motion like distance-time graphs and velocity-time graphs are also covered. The effects of air resistance and gravity are summarized.
This document provides an introduction to kinematics, the branch of physics that deals with the motion of objects. It explains key concepts like coordinate systems, equations of motion, and how to use the kinematics equations to solve problems related to projectile motion. Examples are worked through, such as calculating the maximum height and velocity of a ball thrown upward. Practice problems are also provided. The overall purpose is to teach readers the basics of kinematics and show how to apply the equations of motion.
The document defines key concepts related to linear motion, including:
- Scalar and vector quantities, with scalar having only magnitude and vector having both magnitude and direction.
- Linear motion as motion in a straight line, described by distance, displacement, speed, velocity, and their relationships.
- Uniform motion as maintaining a constant speed in a straight line, versus non-uniform motion changing speed or direction.
- Formulas for calculating velocity, acceleration, and displacement from information about initial/final velocities and time.
- Examples of using these formulas to solve problems involving distance, speed, velocity, and acceleration for objects in linear motion.
- Illustrations of velocity-time graphs showing changes in velocity over time for
The document provides information and instructions for an honors physics class, including:
- Questions about negative acceleration and velocity graphs from homework
- Announcements about assignments, quizzes, and help available
- Practice problems involving creating graphs of velocity vs. time to solve kinematic equations
- Examples of completed graphs analyzing motion with changing velocity over time
This document discusses kinematics, which is the geometry of motion without considering forces. It defines key concepts like displacement, velocity, acceleration, and their relationships. It presents four kinematic equations and provides examples of using these equations and graphs of position-time and velocity-time to solve kinematics problems for objects undergoing uniform and non-uniform acceleration.
This chapter discusses kinematics of linear motion, including:
1) It defines kinematics as the study of motion without considering forces, and describes linear and projectile motion.
2) It introduces key concepts such as displacement, speed, velocity, acceleration and their relationships. Equations for these quantities under constant and uniformly accelerated motion are provided.
3) It describes motion under constant acceleration due to gravity, known as freely falling bodies, and provides the relevant equations.
Curvilinear motion occurs when a particle moves along a curved path.
Since this path is often described in three dimensions, vector analysis will
be used to formulate the particle's position, velocity, and acceleration
This document provides an introduction to linear kinematics. It discusses key linear kinematic variables like distance, displacement, speed, velocity, and acceleration. It defines these variables and the units used to measure them. It also describes the difference between scalar and vector quantities as they relate to motion. Examples of single-point and multi-segment models for describing motion are provided. Equations for calculating speed, velocity, and acceleration from changes in distance, displacement, and time are shown. Projectile motion is also summarized, including the independent vertical and horizontal components of projectile motion.
1) The document describes curvilinear motion and how to analyze the motion of objects moving along curved paths using rectangular components.
2) It provides examples of how to determine the velocity and acceleration of planes in formation and a roller coaster car moving along a fixed helical path using their x, y, and z coordinates.
3) The document also gives an example problem solving for the collision point and speeds of two particles moving along curved paths given their position vectors as functions of time.
Physics 504 Chapter 9 Uniform Rectilinear MotionNeil MacIntosh
This document discusses uniform rectilinear motion. It defines different types of motion including rectilinear, curvilinear, and random motion. Distance is defined as a scalar quantity representing how far an object has moved, while displacement is a vector quantity that includes both distance and direction. Uniform motion refers to motion at a constant speed in a single direction. Graphs of distance-time and velocity-time relationships are used to analyze motion. The average velocity and speed can be calculated from these graphs by determining slope.
This document discusses the kinematics of particles in rectilinear and curvilinear motion. It defines key concepts like position, displacement, velocity, and acceleration for both continuous and erratic rectilinear motion. Examples are provided to demonstrate how to construct velocity-time and acceleration-time graphs from a given position-time graph, and vice versa. The chapter then discusses general curvilinear motion, defining position, displacement, velocity, and acceleration using vector analysis since the curved path is three-dimensional. Fundamental problems and practice problems are also included.
The document discusses acceleration and related concepts:
- Acceleration is the change in velocity per unit of time and is a vector quantity. It results from an applied force and is proportional to the force's magnitude.
- Velocity is speed in a given direction, while speed is the distance traveled per time and does not consider direction.
- Average acceleration is calculated as the change in velocity divided by the time interval. Instantaneous acceleration is the slope of the velocity-time graph at an instant.
- Examples demonstrate calculating average speed and acceleration from initial and final velocities and time intervals. Direction and signs of displacement, velocity, and acceleration must be considered carefully.
This document discusses key concepts in kinematics including:
- Kinematics is the study of motion without considering causes. It focuses on rectilinear or straight-line motion.
- Displacement is a vector quantity that describes the shortest distance between initial and final positions, while distance is a scalar quantity describing the actual path traveled.
- Uniform motion occurs when equal displacements happen in equal time intervals, resulting in a straight line on a position-time graph. Non-uniform motion has acceleration.
The document discusses key concepts in physics related to motion including speed, velocity, acceleration, distance-time graphs, Newton's laws of motion, and kinetic and potential energy. It defines these terms, provides their SI units, and gives examples to illustrate the concepts. It also presents equations for calculating average speed, acceleration, distance traveled with uniform acceleration, and kinetic and potential energy.
This document discusses motion in a straight line. It defines one-dimensional motion as motion along a straight line where only one coordinate changes over time, such as a block moving along a track. It also discusses displacement, distance, speed, velocity, uniform motion, and the three equations of motion - relating velocity, acceleration, time, displacement, and initial/final velocities. The equations are derived using calculus, integrating expressions for acceleration, velocity, and position as derivatives of each other with respect to time.
Force may cause motion or deformation of an object. Newton's second law relates the net force on an object to its acceleration. An example calculates the engine force needed to accelerate a car based on its mass, acceleration, and frictional force. The document provides additional examples applying Newton's laws to calculate accelerations, forces, distances, and times for objects undergoing different motions.
The document discusses equations for calculating velocity, acceleration, displacement, and time for objects moving with constant velocity or uniform acceleration. It provides the key equations:
1) For constant velocity, average velocity (v) equals displacement (Δx) over time (Δt), and displacement equals velocity times time.
2) For uniform acceleration, final velocity (vf) equals initial velocity (v0) plus acceleration (a) times time (Δt), and displacement equals initial velocity times time plus one-half acceleration times time squared.
3) A single equation relates displacement, initial velocity, final velocity, and acceleration, which can be rearranged to solve for any of those variables.
This document discusses motion, speed, and velocity. It defines motion as a change in an object's position over time relative to a reference point. Speed is defined as the distance traveled divided by the time taken, while velocity includes both speed and direction of movement. An example calculates the speed of a horse that traveled 20 meters in 20 seconds as 1 meter per second.
Learn Online Courses of Subject Engineering Mechanics of First Year Engineering. Clear the Concepts of Engineering Mechanics Through Video Lectures and PDF Notes. Visit us: https://ekeeda.com/streamdetails/subject/Engineering-Mechanics
This document discusses vectors and their properties. It provides examples of vector addition and multiplication. Some key points:
- Vectors have both magnitude and direction, while scalars only have magnitude. Vector addition follows the triangle and parallelogram laws.
- There are two types of vector multiplication: the dot product, which results in a scalar, and the cross product, which results in another vector.
- The dot product of two vectors is equal to their magnitudes multiplied by the cosine of the angle between them. It is used to calculate quantities like work and power.
- Vectors can be resolved into rectangular components using a set of base vectors like the i, j, k unit vectors. The magnitude
The document discusses kinematics in one dimension, including definitions of distance, displacement, speed, velocity, acceleration, and how to determine the signs of displacement, velocity, and acceleration. It provides examples of how to solve problems involving initial and final velocity, acceleration, displacement, and time for objects undergoing uniform acceleration. Key concepts covered include average and instantaneous velocity, graphical analysis of position vs time and velocity vs time graphs, and formulas for constant acceleration including the relationships between displacement, initial/final velocities, time, and acceleration.
This document discusses key kinematic concepts including displacement, speed, velocity, acceleration, average velocity, instantaneous velocity, and uniformly accelerated motion. It defines these terms and discusses how to calculate them using equations of motion. Graphical representations of motion like distance-time graphs and velocity-time graphs are also covered. The effects of air resistance and gravity are summarized.
This document provides an introduction to kinematics, the branch of physics that deals with the motion of objects. It explains key concepts like coordinate systems, equations of motion, and how to use the kinematics equations to solve problems related to projectile motion. Examples are worked through, such as calculating the maximum height and velocity of a ball thrown upward. Practice problems are also provided. The overall purpose is to teach readers the basics of kinematics and show how to apply the equations of motion.
The document defines key concepts related to linear motion, including:
- Scalar and vector quantities, with scalar having only magnitude and vector having both magnitude and direction.
- Linear motion as motion in a straight line, described by distance, displacement, speed, velocity, and their relationships.
- Uniform motion as maintaining a constant speed in a straight line, versus non-uniform motion changing speed or direction.
- Formulas for calculating velocity, acceleration, and displacement from information about initial/final velocities and time.
- Examples of using these formulas to solve problems involving distance, speed, velocity, and acceleration for objects in linear motion.
- Illustrations of velocity-time graphs showing changes in velocity over time for
The document provides information and instructions for an honors physics class, including:
- Questions about negative acceleration and velocity graphs from homework
- Announcements about assignments, quizzes, and help available
- Practice problems involving creating graphs of velocity vs. time to solve kinematic equations
- Examples of completed graphs analyzing motion with changing velocity over time
This document summarizes key concepts related to physics including:
1) It distinguishes between scalars (like distance) and vectors (like displacement) which have both magnitude and direction.
2) It explains concepts like displacement, speed, velocity, average velocity, position-time graphs, and velocity-time graphs.
3) It discusses motion problems involving these variables as well as acceleration and relative velocity between objects.
The document provides an overview of kinematics concepts including:
1. Definitions of position, displacement, velocity, acceleration and their relationships for rectilinear motion along a straight path.
2. Equations for average and instantaneous velocity and acceleration.
3. Kinematic equations that apply for constant acceleration, allowing calculations of position, velocity and acceleration as a function of time.
4. An example problem demonstrating the use of kinematic equations to analyze the motion of a particle with varying velocity over time.
The document discusses motion, including:
1. Defining displacement and distance travelled.
2. Calculating speed using the equation speed = distance/time.
3. Distinguishing between speed and velocity, with velocity having both magnitude and direction.
The document provides instructions for physics students, including:
1) Completing homework problems on motion graphs and describing object motion.
2) Reviewing concepts like velocity as the slope of distance-time graphs and calculating displacement from velocity-time graphs.
3) Upcoming assignments on building a catapult and a kinematic story project involving distance, velocity, and acceleration graphs.
The document provides instructions for physics students, including:
1) Completing homework problems on motion graphs and describing object motion.
2) Reviewing concepts like velocity as the slope of distance-time graphs and calculating displacement from velocity-time graphs.
3) Upcoming assignments on building a catapult and a kinematic story project involving distance, velocity, and acceleration graphs.
This document contains notes from a physics class discussing kinematics graphs. It includes examples of how to interpret distance vs. time, velocity vs. time, and acceleration vs. time graphs. It also provides practice problems asking students to draw and analyze different graph types based on given motion information.
1. Motion can be described as a change in an object's position over time. Examples include a train moving along tracks or an object falling due to gravity.
2. Displacement describes the direction and size of an object's movement from its starting point. It is a vector quantity while distance traveled is a scalar.
3. Velocity is displacement divided by time and describes both speed and direction of motion. Acceleration is the rate of change of velocity with respect to time. During free fall, acceleration due to gravity is constant.
The document provides learning objectives and concepts related to kinematics including displacement, speed, velocity, acceleration, and equations of motion. The key points are:
1. It defines important kinematics terms like displacement, speed, velocity, acceleration and describes how to represent motion using words, diagrams, graphs and equations.
2. Graphs of distance-time and velocity-time are introduced and it is explained that their slopes provide speed and acceleration respectively.
3. Equations of motion that apply to objects with constant acceleration in a straight line are given along with examples of how to use them to solve problems.
4. Free fall and projectile motion are described and representations using velocity-time graphs are shown
The document provides an overview of key concepts relating to mapping space and time, including maps and vectors, distance-time graphs, speed and velocity, Pythagoras' theorem, and velocity-time graphs. It defines vectors as having magnitude and direction, and explains how to calculate resultant vectors. It also discusses using graphs to determine instantaneous and average speed/velocity, and how distance traveled relates to the area under graphs. Worked examples are provided for practice questions.
The physics teacher provides an overview of the class agenda which includes checking homework, discussing kinematic graphs and equations, and an upcoming quiz. Students are instructed to complete warm-up questions on acceleration graphs and complete their kinematic story assignment. The teacher outlines the homework which involves practicing kinematic equations and creating velocity-time graphs to solve motion problems.
Distance is a scalar quantity that refers to how far an object has traveled, while displacement is a vector quantity referring to the shortest distance between initial and final positions. Speed is the distance traveled per unit time, while velocity is a vector quantity referring to the rate of change of an object's position and includes direction. Acceleration refers to the rate of change of an object's velocity. It can be calculated using the change in velocity over the change in time.
Physics is the branch of science concerned with the nature and properties of matter and energy. The four fundamental forces in physics are the gravitational, weak nuclear, electromagnetic, and strong nuclear forces. Units and measurements are essential in physics, with the SI system being the international standard. Kinematic equations relate the displacement, velocity, acceleration, and time of motion, and can be used to analyze one-dimensional motion scenarios.
The document discusses position-time graphs and velocity-time graphs. It explains that a flat line on a position graph represents an object that is stopped, a sloping line represents constant speed, and a curved line represents changing speed or acceleration. It provides similar explanations for velocity graphs. The document asks questions about interpreting and constructing graphs, determining speed and velocity from graphs, and calculating displacement from a velocity graph.
Lab 2/Lab 2- Kinematics.pdf
1/4/2017 Lab 2: Kinematics
https://moodle.straighterline.com/pluginfile.php/72219/mod_resource/content/17/CourseRoot/html/lab004s001.html 1/20
Learning Objec뙕ves
Disᣊ�nguish between scalar and vector quanᣊ�ᣊ�es
Apply kinemaᣊ�c equaᣊ�ons to 1‐D and projecᣊ�le moᣊ�on
Predict posiᣊ�on, velocity, and acceleraᣊ�on vs. ᣊ�me graphs
Calculate average and instantaneous velocity or acceleraᣊ�on
Determine that x and y components are independent of each other
Relate velocity, radius, and ᣊ�me period to uniform circular moᣊ�on.
Explain the direcᣊ�on of acceleraᣊ�on during uniform circular moᣊ�on
1‐D Kinema뙕cs
1‐D kinemaᣊ�cs occurs when an object travels in
one dimension and can be described using words,
equaᣊ�ons and graphs. Linear mo뙕on describes
how an object will move horizontally or verᣊ�cally
with constant acceleraᣊ�on, how an object will
1/4/2017 Lab 2: Kinematics
https://moodle.straighterline.com/pluginfile.php/72219/mod_resource/content/17/CourseRoot/html/lab004s001.html 2/20
Figure 1: Pool balls in moᾷon demonstrate
1‐D kinemaᾷcs.
Figure 2: Line secant to the path of the
object.
travel if dropped from the side of a cliff, and the
path it will follow if thrown straight up into the air.
Keep in mind the moᣊ�on of an object is relaᣊ�ve to
the viewer. Even though you do not feel like you
are in moᣊ�on right now, you are on planet earth
that has rotaᣊ�onal moᣊ�on in addiᣊ�on to orbital
moᣊ�on around the sun. In almost all cases here
moᣊ�on will be relaᣊ�ve to the Earth.
Scalar and Vector Quan뙕뙕es
In physics, quanᣊ�ᣊ�es can be scalar or vector. The
difference between the two lies in direcᣊ�on.
Scalar quanᣊ�ᣊ�es include magnitudes, which are numerical measurements. The distance an
object has traveled or the speed of an object is a scalar quanᣊ�ty. Scalars do not take direcᣊ�on
into consideraᣊ�on and can be described with only a number and a unit. For example,
somebody might say the temperature outside is 70°F. Seventy is the magnitude, and
Fahrenheit is the unit; there is no direcᣊ�on associated with the quanᣊ�ty. Vector quanᣊ�ᣊ�es, on
the other hand, include magnitude and direcᣊ�on. The displacement from an object's iniᣊ�al
posiᣊ�on, velocity, and acceleraᣊ�on are vector quanᣊ�ᣊ�es. The direcᣊ�on of vectors can be
described as being in the posiᣊ�ve direcᣊ�on, in the negaᣊ�ve direcᣊ�on, north, south, east, west,
leĀ, right, up, down, etc. One might describe an airplane's velocity as 450 miles per hour due
west where both magnitude and direcᣊ�on are given. It is important to disᣊ�nguish between
scalar and vector quanᣊ�ᣊ�es when trying to understand kinemaᣊ�cs.
Speed, Velocity, and Accelera뙕on
You may be familiar with speed outside of the physics classroom. When you drive in a car you
are traveling a distance over a certain amount of ᣊ�me: a speed. How then is velocity different
from speed? Velocity (v) is a vector quanᣊ�ty described as the rate at which an object's
posiᣊ�on changes divided by the ᣊ�me the ...
1. A velocity-time graph represents the variation of an object's velocity over time as it moves in a straight line, with time on the x-axis and velocity on the y-axis.
2. For uniform motion, the graph is a straight line parallel to the x-axis, while for uniform acceleration the graph is a straight line. Non-uniform acceleration can produce graphs of varying shapes.
3. The three laws of motion relate displacement, velocity, acceleration, and time: v = u + at, s = ut + 1/2at2, and 2as = v2 - u2. These equations can be derived and used to analyze motion graphsically.
Christian Kasumo gave a presentation at the ZAME Annual Provincial Conference on teaching kinematics. He defined key kinematics concepts like displacement, velocity, acceleration, and discussed common student difficulties. He recommended teaching kinematics through real-world examples, group work, and activities using software like Geogebra to help students understand graphs and equations of motion. He concluded by thanking the organizers and Mulungushi University for their support.
A student is able to:
- Plot and interpret displacement-time and velocity-time graphs
- Determine an object's motion from the shape of the graphs, including whether it is at rest, moving with uniform or non-uniform velocity/acceleration
- Calculate distance, displacement, velocity, and acceleration from displacement-time and velocity-time graphs
- Solve problems involving linear motion using the equations of motion
The document describes a series of physics problems involving Dr. Fiala traveling or accelerating at constant rates. Different colored slides in a video correspond to different types of problems involving word matching, concepts, data tables, or graphing. The problems provide calculations for distance, time, velocity, acceleration, force, momentum, and more using kinematic equations and Newton's laws of motion.
Similar to Physics Semester 1 Review and Tutorial (20)
4.5 2014 bstdy essence being and consciousnessffiala
The document outlines the day's objectives which are to explain concepts of consciousness, essence and Being, differentiate between Associative and Cognitive Awareness, and discuss Existential intelligence versus Existentialism. It then provides information on forms of consciousness including selective attention and examples of inattentional and change blindness. Finally, it discusses key concepts of Existentialism such as existence preceding essence and the absurdity of reality.
The document outlines steps for creating a personal plan for success, including clarifying one's definition of success, identifying nine principles and three steps for success. It prompts the reader to write about their strengths, weaknesses, opportunities, threats, and core competencies, and to consider what they are capable of achieving with effort and how to monitor trends and relationships important to their success. The reader is then instructed to identify these factors and options in their brain studies journal.
The document describes experiments conducted to analyze the motion of a roller coaster on its first drop hill. Two methods were used to measure acceleration, with the first method finding -7.1 m/s^2 and the second -4.9 m/s^2. Height was also measured two ways, with results of 49m and 35.87m respectively. Energy calculations did not match potential and kinetic energies. Forces were measured as 2.81Fg and an average of 2.52Fg from accelerometer data. Overall the data did not fully support hypotheses due to inconsistencies between methods.
The document contains solutions to multiple physics problems involving energy transfers and transformations. It analyzes situations involving the Batallac car, Batfink, Karate, and a wrecking ball. Calculations are shown for gravitational potential energy, kinetic energy, velocity, time, force, power, and spring constant. Key terms like mass, displacement, gravity, energy, force, and power are defined and used in the calculations.
The document describes a video that uses color-coded slides to explain different concepts. Slides with red backgrounds involve word matching problems. Slides with tan backgrounds involve concepts. Slides with green backgrounds involve graphing. Slides with olive backgrounds involve reading data tables. The document also includes tables of position, velocity, and time data for multiple objects.
The document describes a video presentation with slides of different colors that code different types of content:
- Red slides involve word matching problems.
- Tan slides involve concepts.
- Green slides involve graphing.
- Olive slides involve reading data tables.
The document contains slides from a video lesson on physics concepts. The slides are color coded by topic: red for word problems, tan for concepts, green for graphing, olive for data tables. Key concepts defined include displacement, velocity, acceleration, inertia, force, and momentum. Graphing concepts like position, velocity, and acceleration graphs are presented for different motion scenarios. Force diagrams are matched to motion maps and used to predict kinematic graphs.
The document provides solutions to physics problems involving forces, acceleration, velocity, and time calculations. The first problem involves calculating the acceleration of a barrel pushed by an 85 N force over 12 m with 7 N of friction. The second calculates the final velocity of the barrel before falling off a cliff as 12 m/s. The third finds Batfink has 3.26 seconds to escape the barrel after falling from 52 m.
The document contains step-by-step solutions to physics problems involving forces, acceleration, velocity, and time calculations. It analyzes the motion of a barrel containing Batfink as it is pushed off a cliff and falls. The solutions include drawing free body diagrams, calculating acceleration along the x-axis, final velocity before falling, maximum time for escape from the barrel, and final velocity upon hitting the ground. Key values like masses, forces, distances, and times are identified and used to solve the problems.
The document provides examples of physics problems involving forces, kinematics, and free body diagrams. It includes solutions to calculating tensions in chains suspending a person, the acceleration and velocity of an object being pushed along a cliff, and determining the forces, velocities and displacements of moving carts. Diagrams illustrate the free body diagrams and graphs are used to represent motion over time.
Batfink, weighing 50 kg, is placed in a 25 kg barrel. Hugo pushes the barrel with Batfink over 12 m before it falls off a cliff, accelerating at 1.1 m/s^2. The Hulk, weighing 355 kg, hangs from two chains attached to walls, with tensions of 2358 N and 2120 N in the chains. A 2.75 kg cart starting 6.2 m to the left of the reference point and traveling at 1.47 m/s for 4.63 seconds experiences a force of 0.908 N and ends up traveling 2.99 m.
1) Batfink (50 kg) and a barrel (25 kg) experience a force of gravity (Fg) of -735 N when stationary. Hugo pushes the barrel with Batfink inside with 85 N over 12 m. The barrel's acceleration is calculated to be 1.1 m/s^2.
2) Tensions (T1, T2) are calculated in two chains suspending the Incredible Hulk (355 kg). T1 experiences a tension of 2358.2 N and T2 experiences 2500 N.
3) A cart (2.75 kg) starting at -6.2 m with a velocity of 1.47 m/s accelerating at 0.
1) The document provides solutions to physics problems involving forces, velocities, accelerations, and displacements acting on objects with given masses. Force diagrams and calculations are shown.
2) One problem involves a barrel containing Batfink that is pushed along a cliff and its acceleration and final velocity before falling are calculated.
3) Another determines the tensions on chains suspending the Incredible Hulk, giving his mass and the angles and tension on one chain.
This document contains a 124-question exam review for anatomy and physiology semester 2. It covers topics like the respiratory system, heart, blood, immune system, digestive system, urinary system, and acid-base balance. The questions test knowledge of structures, functions, and processes within these body systems.
The document discusses creativity and defines it as the ability to go beyond traditional ideas and patterns to generate original and imaginative new ideas, forms, and interpretations. It also mentions the four stages of creativity: preparation, incubation, illumination, and verification. Finally, it prompts the reader to explain how they will apply the four stages of creativity to improve their grade in a current course.
The document discusses techniques for studying effectively in college courses. It recommends taking 15-17 credit hours per semester to complete a 128 credit undergraduate degree in 4 years. It suggests studying 1-1.5 hours outside of class for each credit hour, and provides tips for creating a study schedule, limiting distractions, studying in chunks, and forming study groups. The document also provides advice for test-taking, such as getting enough sleep, managing time well, and not cheating.
This document provides information on various memory techniques including:
1) The peg method which uses rhyming words to remember items in order.
2) The loci method which uses locations in rooms to place items to remember.
3) Linking memories to emotions, especially first experiences, to aid in long term recall.
The document discusses communication between the left and right hemispheres of the brain. The corpus callosum connects the two hemispheres and allows for processing of sensory, motor, and cognitive information. It also discusses how bilateral manipulation uses both sides of the body to accomplish tasks, rather than just the dominant side. Differences are noted between male and female brains, such as gray and white matter composition and cognitive strengths, but IQ is virtually the same on average between sexes.
The document provides instructions for a learning style inventory activity where students will:
1) Write their names on the board under the appropriate learning style heading.
2) Be divided into 5 discussion groups based on brain learning styles.
3) Spend 12 minutes designing a school bus of the future without sharing ideas between groups.
4) Select a spokesperson to present their group's bus design to the class.
This document discusses teen brain development and behavior. It notes that during the teen years, sex hormones enter the scene which can lead to new perceptions and a desire to be with peers. The brain undergoes significant growth during this time, including thickening of the prefrontal cortex and a flurry of growth of neurons, though these prefrontal regions take time to fully develop. This mismatch between brain regions can help explain some impulsive or risk-taking behaviors as the reward system develops before prefrontal regions are fully able to regulate behavior. The document emphasizes that the maturation process for teens involves learning and some trial and error as brains develop.
This document provides an overview of wound healing, its functions, stages, mechanisms, factors affecting it, and complications.
A wound is a break in the integrity of the skin or tissues, which may be associated with disruption of the structure and function.
Healing is the body’s response to injury in an attempt to restore normal structure and functions.
Healing can occur in two ways: Regeneration and Repair
There are 4 phases of wound healing: hemostasis, inflammation, proliferation, and remodeling. This document also describes the mechanism of wound healing. Factors that affect healing include infection, uncontrolled diabetes, poor nutrition, age, anemia, the presence of foreign bodies, etc.
Complications of wound healing like infection, hyperpigmentation of scar, contractures, and keloid formation.
Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.pptHenry Hollis
The History of NZ 1870-1900.
Making of a Nation.
From the NZ Wars to Liberals,
Richard Seddon, George Grey,
Social Laboratory, New Zealand,
Confiscations, Kotahitanga, Kingitanga, Parliament, Suffrage, Repudiation, Economic Change, Agriculture, Gold Mining, Timber, Flax, Sheep, Dairying,
This presentation was provided by Rebecca Benner, Ph.D., of the American Society of Anesthesiologists, for the second session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session Two: 'Expanding Pathways to Publishing Careers,' was held June 13, 2024.
Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...TechSoup
Whether you're new to SEO or looking to refine your existing strategies, this webinar will provide you with actionable insights and practical tips to elevate your nonprofit's online presence.
How Barcodes Can Be Leveraged Within Odoo 17Celine George
In this presentation, we will explore how barcodes can be leveraged within Odoo 17 to streamline our manufacturing processes. We will cover the configuration steps, how to utilize barcodes in different manufacturing scenarios, and the overall benefits of implementing this technology.
Leveraging Generative AI to Drive Nonprofit InnovationTechSoup
In this webinar, participants learned how to utilize Generative AI to streamline operations and elevate member engagement. Amazon Web Service experts provided a customer specific use cases and dived into low/no-code tools that are quick and easy to deploy through Amazon Web Service (AWS.)
THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...indexPub
The recent surge in pro-Palestine student activism has prompted significant responses from universities, ranging from negotiations and divestment commitments to increased transparency about investments in companies supporting the war on Gaza. This activism has led to the cessation of student encampments but also highlighted the substantial sacrifices made by students, including academic disruptions and personal risks. The primary drivers of these protests are poor university administration, lack of transparency, and inadequate communication between officials and students. This study examines the profound emotional, psychological, and professional impacts on students engaged in pro-Palestine protests, focusing on Generation Z's (Gen-Z) activism dynamics. This paper explores the significant sacrifices made by these students and even the professors supporting the pro-Palestine movement, with a focus on recent global movements. Through an in-depth analysis of printed and electronic media, the study examines the impacts of these sacrifices on the academic and personal lives of those involved. The paper highlights examples from various universities, demonstrating student activism's long-term and short-term effects, including disciplinary actions, social backlash, and career implications. The researchers also explore the broader implications of student sacrifices. The findings reveal that these sacrifices are driven by a profound commitment to justice and human rights, and are influenced by the increasing availability of information, peer interactions, and personal convictions. The study also discusses the broader implications of this activism, comparing it to historical precedents and assessing its potential to influence policy and public opinion. The emotional and psychological toll on student activists is significant, but their sense of purpose and community support mitigates some of these challenges. However, the researchers call for acknowledging the broader Impact of these sacrifices on the future global movement of FreePalestine.
Chapter wise All Notes of First year Basic Civil Engineering.pptxDenish Jangid
Chapter wise All Notes of First year Basic Civil Engineering
Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
2. The slides used in this tutorial are color coded. If
you are experiencing difficulty with one aspect of
your understanding than another you might find
this coding useful.
Slides with
red
backgrounds
involve word
problems.
Slides with
tan
backgrounds
involve
matching
concepts.
Slides with olive
backgrounds
involve reading
data tables.
Slides with
green
backgrounds
involve
graphing.
3.
4. Dr. Fiala is traveling on his
Harley at a constant 13.67 m/s.
What is the distance
traveled by Doc in 7.32
seconds?
5. SOLUTION:
K U
Find the distance traveled.
Vi&f = 13.67 m/s Xf
ti = 0 s
tf = 7.32 s
Xi = 0 m Xf= m
a = 0 m/s2
6. SOLUTION:
K U
Find the distance traveled.
Vi&f = 13.67 m/s Xf
ti = 0 s
tf = 7.32 s
Xi = 0 m Xf= 100.07 m
a = 0 m/s2
7. Dr. Fiala notices he is now
traveling at a constant
49.21 km/h. What is the distance
in meters traveled by Doc in 7.32
seconds?
9. Dr. Fiala jumps in his un-
started car. He accelerates at a
rate of 4 m/s2 for 8 seconds.
How far did Doc travel?
10. vi = 0 m/s vf =
ti = 0 s Xf =
tf = 8 s
a = 4 m/s2
Xi = 0 m
Xf = 128 m
Doc’s final position.
11. Displacement
Velocity
Acceleration
Inertia
Force
Momentum
• The change in the rate or
direction of motion.
• The resistance to a change in an
object’s current state of motion.
• A change in position.
• A push or a pull that tends to
accelerate an object.
• The movement of an object in a
specific direction over time.
• The product of mass times
velocity.
12. Displacement is a change in position.
Velocity is the movement of an object in a
specific direction over time.
Acceleration is the change in the rate or direction
of motion of an object.
Inertia is the resistance to a change in an object’s
current state of motion.
Force is a push or a pull that tends to accelerate an
object.
Momentum is the product of mass times velocity.
21. Vy = 0 m/s
ty = 5 s
Yf = Yi + Vi t + ½ gt2
Vi = 48.5 m/s
Vf
2 = Vi
2 + 2g Δy
Vi = 48.5 m/s
22. Position Graph
Can you predict
the slope shape
and orientation of
both the velocity
and acceleration
graphs?
Graph Options
23. Position Graph
Can you predict
the slope shape
and orientation of
the velocity graph?
Graph Options
V = 0 m/s
V = 0 m/s
These two graphs
begin with positive
velocity that is
decreasing over
time.
24. Position Graph
Can you predict
the slope shape
and orientation of
the acceleration
graph?
Graph Options
V = 0 m/s
This graph both decreasing positive velocity
and increasing negative velocity over time
caused by constant negative acceleration
(yellow arrow).
35. Motion
Map
Graph Options
Can you predict
the slope shape
and orientation of
the position,
velocity, and
acceleration
graphs based on
this motion map?
36. Motion
Map
Graph Options
Can you predict
the slope shape
and orientation of
the position
graph?
These three graphs illustrate an object
moving to the left over time.
This graph can be eliminated because
it illustrates an object that begins
moving back to the right over time.
37. Motion
Map
Graph Options
Can you predict
the slope shape
and orientation of
the velocity graph
now based on this
position graph?
This is the only graph that illustrates and
object moving to the left with changing
velocity (curved slope, fast to slow to
fast) over time.
38. Motion
Map
Graph Options
Can you predict
the slope shape
and orientation of
the acceleration
graph now based
on this velocity
graph?
This is the only graph
that illustrates negative
velocity (moving to the
left) the whole time. It
is under the influence
of constant positive
and then constant
negative (yellow
arrows) acceleration.
V = 0 m/s
V = 0 m/s
This graph can be
eliminated because it
illustrates an object
that is moving slowly
at the beginning.
40. Graph Options
Motion
Map
Can you predict the
slope shape and
orientation of the
position, velocity,
and acceleration
graphs based on
this motion map?
42. Graph Options
Motion
Map
Can you predict the
slope shape and
orientation of the
position, velocity,
and acceleration
graphs?
Position Graph
Velocity Graph
43. Graph Options
Motion
Map
Can you predict the
slope shape and
orientation of the
position, velocity,
and acceleration
graphs?
Position Graph
Velocity Graph
45. Motion
Map
Graph Options
Can you predict the
slope shape and
orientation of the
position, velocity,
and acceleration
graphs based on
this motion map?
46. Motion
Map
Graph Options
Can you predict the
slope shape and
orientation of the
velocity, and
acceleration graphs
now based on this
position graph?
Position Graph
47. Motion
Map
Graph Options
Can you predict the
slope shape and
orientation velocity
graph now based
on this position
graph?
Position Graph
These four graphs illustrate
positive velocity over time. The
ones circled in orange can be
eliminated because they indicate
changing acceleration which we
will not study in this class.
The one circled
in green can
be eliminated
because the
velocity does
not change.
48. Motion
Map
Graph Options
Can you predict the
slope shape and
orientation of the
acceleration graph
now based on this
velocity graph?
Position Graph
Velocity Graph
57. Determine the force of friction on a
15.62 kg object traveling at a
constant horizontal velocity of
3.62 m/s while experiencing an
applied force of 6 N.
62. Determine the force needed to
accelerate Dr. Fiala’s car and its
occupants at a rate of 3.23 m/s2 if
the total mass of car and occupants
is 1315 kg and there is no friction
force.
64. This time, when we apply that
4247.45 N force to Dr. Fiala’s car and
its occupants, the resulting
acceleration is actually lower. It
registers at a rate of only 3.00 m/s2.
What is the magnitude for the force
of friction causing the acceleration to be
decreased?
69. When an object is freefalling it is
weightless. Prove mathematically that
a .448 kg apple is weightless during its
freefall from a tree. Draw a force
diagram of the apple during its fall
from the tree.
71. Force Diagram
Motion Map
Position (ΔY) Graph
Velocity (Vy) Graph
Acceleration Graph
Can you predict the
motion map, and
kinematic graphs for
this freefalling object?
73. Assuming a perfectly frictionless surface, ideal for
launching students in a game of faculty bowling,
Dr. Fiala uses a brand new gizmo that automatically
applies a force that results in an acceleration of
1.1 m/s2. Experimentation resulted in a student with a
mass of 44.10 kg, accelerating at 1.1 m/s2. Find the
force generated by the gizmo for that student.
77. All of the students from the
previous problem (combined mass)
step into an elevator at the same time.
Draw a force diagram of this situation
including the magnitude of Fg and Fs.
78. SOLUTION:
K U
Find force of gravity and force of support.
m1 = 42 kg Fg
m2 = 43.25 kg Fs
m3 = 44 kg
m4 = 44.23 kg
m5 = 44.77 kg
m6 = 45.01 kg
m2 = 45.45 kg Fg= -3025.36 N
g = -9.8 m/s2 Fs= 3025.36 N
79. This same elevator accelerates
at a rate of .75 m/s2 towards the
second floor. Draw a force
diagram of this situation
including the magnitude of Fg and
Fs.
80. SOLUTION:
K U
Find force of support.
m = 308.71 kg Fs
Fg = -3025.36 N
g = -9.8 m/s2
a = .75 m/s2
Fs= 3256.89
N
Fg = 3025.36 N
Fs = 3256.89 N
81. Force Diagram
Motion Map
Position Graph
Velocity (Vy) Graph
Acceleration Graph
Can you predict the
motion map, and
kinematic graphs for
this elevator?
83. This same elevator accelerates
at a rate of .50 m/s2 as it begins its
stop for the second floor. Draw a
Force diagram of this situation
including the magnitude of Fg
and Fs.
84. SOLUTION:
K U
Find force of support.
m = 308.71 kg Fs
Fg = -3025.36 N
g = -9.8 m/s2
a = .-50 m/s2
Fs= 2871.01
N
Fg = 3025.36 N
Fs = 2871.01 N
85. Force Diagram
Motion Map
Position Graph
Velocity (Vy) Graph
Acceleration Graph
Can you predict the
motion map, and
kinematic graphs for
the ENTIRE TRIP?
87. According to Newton’s 3rd law, an
action force causes an equal on opposite
reaction force. It is no wonder a truck
windshield squashes a bug and not vice
versa. A 2000 kg truck and a .0002 kg
bug hit with a 50 N force. Take a closer
look at why the truck wins the collision
by calculating the acceleration
exerienced by the bug and by the truck.
88. SOLUTION:
K U
Why the bug doesn’t survive.
mt = 2000 kg at
mb = .0002 kg ab
g = -9.8 m/s2
F = -50 N
at = -.025 m/s2
ab = -250,000 m/s2
89. These cables will snap if the
mass of the trafffic light exceeds
10.1 kg. Does the traffic light
exceed 10.1 kg?
91. Dr. Fiala attempts to walk
due east at 5 m/s at the
same time as a 30 m/s cold,
winter wind is blowing due
south. What is the
magnitude of Dr. Fiala’s
velocity.
93. If Dr. Fiala continues his
velocity and the wind
continues to blow steadily,
at what angle, as measured from
positive “X”, is Dr. Fiala’s
velocity.
Vx = 5 m/s
Vy =
30 m/s
94. SOLUTION:
Vy = 30 m/s
Vx = 5 m/s
tan Θ = x
y
Θ = 9.46°
tan Φ = y
x
Φ = 80.54°
Θ (from +x) = 279.46°
Resultant velocity angle measured from
positive x.
95. Because of this wind, a 15 kg
package is blown from Dr. Fiala’s
arms and onto the ground. The 15 kg
package reaches a velocity of 30.41
m/s in a time of 4 seconds. Find the
force acting on the box horizontally if
there is no friction.
96. SOLUTION:
K U
Find applied force.
Yf = -15 m a
Yi = 0 m F
m = 15 kg
g = -9.8 m/s2
Vi = 0 m/s Vf = 31.41 m/s
ti = 0 s a = 7.60 m/s2
ti = 4 s F = 114 N
97. Force
Diagrams
Motion Map
Match the force
diagram to the motion
map. Can you also
predict the slope
shape and orientation
of the position,
velocity, and
acceleration graphs?
100. If the package is blow horizontally at
30.41 m/s off a ledge onto a parking
lot that is 15 meters below how much
time will it spend in the air before
striking the ground? What does the
motion map look like?
101. SOLUTION:
K U
Find time package spends in the air.
Yf = -15 m Vf
Yi = 0 m tf
m = 15 kg
g = -9.8 m/s2 tf = 1.75 s
Vi = 0 m/s
ti = 0 m/s
102. Force Diagram
Motion Map
Acceleration Graph
Can you predict what the
force diagram, and
vertical kinematic graphs
for this freefalling object?
Velocity (Vy) Graph
Position (ΔY) Graph
106. Dr. Fiala throws a baseball in the
air with an initial velocity of 27 m/s at
an angle of 27° to the horizon. Create
a
velocity vector diagram and show, by
parallelogram method, the “X” and “Y”
components of the baseball’s velocity.
107. SOLUTION:
K U
Resolve velocity vector into “x” and “y”
components just like force or any other vector.
V= 27 m/s Viy
Θ= 27° Vix
g = -9.8 m/s2
Viy = 12.26 m/s
Vix = 24.06 m/s
Vx = V
Vy = V
27°
108. How much time will it take for the
baseball to reach the same height
from which it was thrown?
109. SOLUTION:
K U
Find time in the air.
g = -9.8 m/s2 tf
Θ= 27°
Viy = 12.26 m/s
Viy = 24.06 m/s
ti = 0 s
Yi = 0 m
Yf = 0 m tf = 2.5 s
110. How far will the baseball travel in
2.5 seconds?
111. SOLUTION:
K U
Find range.
g = -9.8 m/s2 Xf
Θ= 27°
Viy = 12.26 m/s
Viy = 24.06 m/s
ti = 0 s
Yi = 0 m Yf = 0 m
Xi = 0 m
tf = 2.5 s Xf = 60.15 m
112. What is the maximum height the
baseball attained during its flight?
113. SOLUTION:
K U
Find Δy.
g = -9.8 m/s2 Δy
Θ= 27°
Viy = 12.26 m/s
Vix = 24.06 m/s
ti = 0 s
Yi = 0 m Yf = 0 m
Xi = 0 m Δy = 7.67 m
tf = 2.5 s
Xf = 60.15 m
114.
115. Vy = 0 m/s
Vf = Vi + g Δt
tf = 3.06 s
Yf = 45.9 m
Yf = Yi + Vi t + ½ at2
AREA = ½ Base x Height
116. Force
Vector Arrows for this
Projectile
Acceleration
Using these vector arrows can
you predict what the position,
force, velocity and
acceleration vector arrows
would look like for this
projectile at the start and at
the top?
Velocity
Position
120. What constant force is needed to
get a change in the apple’s
momentum from 13.44 kgm/s to 0
In 3.06 seconds?
121. SOLUTION:
K U
Find force necessary to change momentum.
m = .448 kg F
Vi = 30 m/s
g = -9.8 m/s2
ti = 0 s
tf = 3.06 s
Δp = -13.44 kgm/s
F = -4.39 N
122. After falling to the ground the
.448 kg apple rolled at a constant
10.4 m/s where collided with a
stationary .577 kg apple. If the two
apples stuck together, at what
velocity would they roll?
123. SOLUTION:
K U
Find the velocity of two apples stuck together.
m1 = .448 kg Vf
m2 = .577 kg p
g = -9.8 m/s2
Vi1 = 10.4 m/s
Vi2 = 0 m/s
p = 4.66 kgm/s2
Vf = 4.55 m/s
124. Determine the force applied if
the rolling apples strike a wall
and a come to a stop in .311
seconds.
125. SOLUTION:
K U
Find force needed to stop apples.
m1 = .448 kg F
m2 = .577 kg
ti = 0 s
tf = .311 s
g = -9.8 m/s2
Vi1 = 4.55 m/s
Vi2 = 0 m/s
p = 4.66 kgm/s F = 14.98 N
Editor's Notes
Please pause if you want to practice your graph reading before I begin mine. You may want to pause after each segment. Okay, here goes…Horizontal velocity is plotted on