2.3 010 projectile_motion
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The document discusses projectile motion and provides examples to illustrate key concepts: a) Horizontal motion is at constant velocity, vertical motion accelerates at 9.8 m/s^2 due to gravity. b) Equations for horizontal motion are v=d/t, vertical motion are v=at and d=1/2at^2. c) Examples show applying the equations to calculate velocities and distances of objects in projectile motion after a set time.
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Projectile motion
This document discusses projectile motion, including motion in two dimensions for objects launched horizontally as well as objects launched at an angle. It provides equations to describe the horizontal and vertical components of velocity and position over time for projectiles. An example problem is also given to calculate the velocity, position, and graphs of motion for an object sliding off a table.
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This document discusses projectile motion in physics. It defines a projectile as any object projected by some means that continues to move due to its own inertia. Projectiles move in two dimensions and have both horizontal and vertical velocity components. The horizontal component is constant, while the vertical component changes due to gravity. Together these components produce the parabolic trajectory of a projectile. Examples are provided of analyzing the motion of horizontally and vertically launched projectiles using kinematic equations and taking into account the initial velocity components.
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1) A projectile's path is determined by its initial velocity components in the horizontal and vertical directions.
2) The time of flight of a projectile can be calculated from its maximum height using the equation t = √(2y/g).
3) Knowing the time of flight and horizontal velocity component allows calculating the horizontal range using the equation x = vot.
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Projectile motion is the motion of an object under the influence of gravity. It can be broken down into two components: horizontal motion and vertical motion. Horizontal motion is unaffected by gravity and follows the regular kinematic equations of straight line motion. Vertical motion is affected by the downward acceleration due to gravity and also follows straight line kinematic equations using the acceleration due to gravity. Understanding projectile motion requires analyzing the horizontal and vertical components separately using the appropriate kinematic equations for each direction.
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This document discusses projectile motion, including motion in two dimensions for objects launched horizontally as well as objects launched at an angle. It provides equations to describe the horizontal and vertical components of velocity and position over time for projectiles. An example problem is also given to calculate the velocity, position, and graphs of motion for an object sliding off a table.
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This document discusses projectile motion in physics. It defines a projectile as any object projected by some means that continues to move due to its own inertia. Projectiles move in two dimensions and have both horizontal and vertical velocity components. The horizontal component is constant, while the vertical component changes due to gravity. Together these components produce the parabolic trajectory of a projectile. Examples are provided of analyzing the motion of horizontally and vertically launched projectiles using kinematic equations and taking into account the initial velocity components.
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Projectile motion describes the path of an object thrown or projected into the air. It has both horizontal and vertical motion. In the horizontal direction, the object maintains a constant velocity, but in the vertical direction it accelerates downward due to gravity. This results in a parabolic trajectory. The horizontal and vertical motions can be analyzed separately, with gravity only affecting vertical motion. The horizontal range of a projectile depends on its initial velocity and launch angle, with the maximum range achieved at 45 degrees.
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1) Projectile motion refers to the motion of objects thrown or projected into the air at an angle. It is determined by the object's initial velocity and gravity.
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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.
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This document discusses projectile motion, beginning with an overview of the objectives and definitions. It explains that a projectile experiences only gravity and air resistance, and its motion can be analyzed as independent vertical and horizontal components. Horizontal projectiles follow the simplest case where velocity is constant horizontally but follows parabolic free fall vertically. Non-horizontal projectiles require calculating initial velocity components and analyzing changes in vertical velocity over time. Solving projectile motion problems generally involves drawing diagrams, choosing a coordinate system, and applying the independent kinematic equations along each axis. Air resistance decreases a projectile's range from the ideal parabolic trajectory.
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Diploma sem 2 applied science physics-unit 4-chap-1 projectile motion
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This document provides information about projectile motion. It defines a projectile as any object projected by some means. Projectiles move in two dimensions, with a horizontal velocity component that is constant and a vertical component that changes due to gravity. The path of a projectile is parabolic. There are two types of projectile motion: horizontally launched, where the initial vertical velocity is zero; and vertically launched, where the velocity must be broken into horizontal and vertical components using trigonometry. Kinematic equations are used to analyze the motion by treating the horizontal and vertical motions separately. Examples are provided to demonstrate solving problems for variables like time, displacement, velocity, and height using the appropriate kinematic equations.
projectile motion horizontal vertical -170213175803 (1).pdf
This document provides information about projectile motion. It defines a projectile as any object projected by some means. Projectiles move in two dimensions, with a horizontal velocity component that is constant and a vertical component that changes due to gravity. The path of a projectile is parabolic. There are two types of projectile motion: horizontally launched, where the initial vertical velocity is zero; and vertically launched, where the velocity must be broken into horizontal and vertical components using trigonometry. Kinematic equations are used to analyze the motion by treating the horizontal and vertical motions separately. Examples are provided to demonstrate solving problems for variables like time, displacement, velocity, and height using the appropriate kinematic equations.
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This document discusses two-dimensional motion and vectors. It defines scalars and vectors, and explains how to add vectors graphically and using trigonometric functions. Projectile motion is described as having independent vertical and horizontal components due to gravity. Examples show how to use trigonometric functions to find the magnitude and direction of resulting vectors, resolve vectors into horizontal and vertical components, and solve projectile motion problems by treating vertical and horizontal motions separately.
chapter2powerpoint-090816163937-phpapp02.ppt
Kinematics deals with concepts of motion like displacement, velocity, and acceleration. Dynamics deals with forces that cause motion. Together they form the branch of mechanics. Displacement is defined as the difference between the final and initial positions. Speed is the distance traveled divided by time. Velocity is displacement divided by time. Acceleration is the rate of change of velocity with respect to time. Equations relate the kinematic variables of displacement, velocity, acceleration, time, and initial velocity. Position-time and velocity-time graphs provide a visual representation of motion and can be analyzed to determine properties like speed, direction of motion, and periods of acceleration.
projectile motion grade 9-170213175803.pptx
This document discusses projectile motion and provides examples to solve related problems. It begins by defining a projectile as any object projected by some means. Projectiles move in two dimensions, with a horizontal velocity component that is constant and a vertical component that changes due to gravity. The types of projectile motion covered are horizontally and vertically launched projectiles. Kinematic equations are provided to solve problems involving projectiles. Examples are worked through, such as calculating the time and distance for a kicked football. Basics of projectile motion are outlined.
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This document provides an overview of projectile motion concepts including:
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- The horizontal motion of a projectile is independent of its vertical motion, with the horizontal velocity remaining constant and no horizontal acceleration. Vertically, gravity causes acceleration of -9.8 m/s2.
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Chap2 3 4
This document provides an overview of key physics concepts related to kinematics including:
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- Mass vs weight
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Kinematics of Particles
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Kinematics of particles
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9. kinematics of particles
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Week 9-10 2D and 3D Motion.pptx
The document discusses motion in two and three dimensions. It defines key concepts like displacement, velocity, acceleration, and their representations as vectors. It also covers projectile motion, describing how the horizontal and vertical components are independent, and how to calculate range, time of flight and maximum height. Other topics covered include circular motion, uniform circular motion, relative motion using an intermediate frame of reference, and examples/activities calculating values for motion scenarios.
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This document provides an introduction to physics concepts related to kinematics including vectors, scalars, units, displacement, velocity, acceleration, and graphing motion. Key topics covered include the definitions and differences between scalars and vectors, SI units, mass vs weight, velocity vs speed, acceleration, and how to graph and interpret position, velocity, and acceleration graphs for motion with constant acceleration. Formulas for kinematics including displacement, average velocity, and relationships between final velocity, initial velocity, acceleration, and displacement are also presented.
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This document provides an introduction to physics concepts related to kinematics including vectors, scalars, units, displacement, velocity, acceleration, and graphing motion. Key topics covered include the definitions and differences between scalars and vectors, SI units used in physics, mass versus weight, and the definitions and relationships between distance, displacement, speed, velocity, and acceleration. Formulas for kinematics including the kinematics equations are also presented along with examples of how to graph position, velocity, and acceleration versus time.
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Physics 504 Chapter 10 Uniformly Accelerated Rectilinear Motion
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projectile motion horizontal vertical -170213175803 (1).pdf
projectile motion horizontal vertical -170213175803 (1).pdf
projectile motion horizontal vertical -170213175803 (1).pdf
projectile motion horizontal vertical -170213175803 (1).pdf
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2.3 010 projectile_motion
- 1. How does the horizontal and vertical motion differ on the x- and y-planes?
- 4. Vertically…
- 5. Combined…
- 6. Combined…
- 7. Actual…
- 9. Projectile Motion For a projectile: a) b) c) Describe the horizontal and vertical motion. Horizontal constant velocity Vertical accelerating Describe the horizontal and vertical Horizontal zero acceleration. Vertical 9.8 m/s2 What equations would you use to calculate horizontal and vertical motion. Horizontal v = d/t Vertical v = at and d = ½ at2
- 10. Horizontally… If you throw a projectile horizontally Describe the horizontal will it What is the horizontal at a speed of 25 m/s, how fast acceleration for projectile. 3 s? motion of a a projectile? be moving, horizontally, after A projectile moveswill still be Horizontally, it horizontally Horizontal acceleration is zero. with constant25 m/s. moving at velocity.
- 11. If a projectile is thrown What What a speed horizontally at happens, vertically, as a happens, vertically, as of 25 m/s, howvertical Describe the fast is aprojectile moves projectile moves the projectile moving motion of a projectile. upward? 3 downward? s? vertically after Vertically, a projectile slows Vertically, a projectile speeds Vertically, projectile will a way up. Vertically,on the projectile theway down. down the up on accelerates… be moving 29.4 m/s. …at a rate of 9.8 m/s2 Vertically…
- 12. Initially… 25 m/s 0 vertical velocity So, if you throw a projectile horizontally at a speed of After 3 s… 25 m/s 25 m/s, how fast is it moving after 3 seconds? actual 30 m/s Horizontally, it is moving at 25 39 m/s m/s, vertically it is moving 30 30 m/s m/s, so (by Pythagorean’s Theorem) the projectile is moving 25 m/s at 39 m/s. motion
- 14. B4 stopped Projectile motion problems… The key to solving problems involving projectile motion is… • understanding that x and y are independent. • identifying and separating x and y variables. • understanding that time is the same for both x and y. • Using appropriate equations for x and y.
- 15. Projectile motion problems… Useful tips… • Draw a picture. • Make a table with an x column and a y column to identify variables. • Immediately write down acceleration due to gravity (g) in the y column. • Time connects x and y.
- 16. Projectile motion problems… Equations… • Along the x-axis: – no acceleration; moves w/ constant velocity. – v = d/t • Along the y-axis: – Accelerates b/c of gravity; g = 9.8 m/s2. – v = at – d = ½at2
- 17. Lamp on a table… If I knock a lamp off an end-table with a horizontal velocity of 5 m/s and the table is 0.5 meters high, how far away does the lamp land? 1.6 meters in front of table.
- 18. B1 stopped Kickin’ rocks… A rock is kicked horizontally off a cliff and lands 125 meters in front of the cliff. If the cliff is 80 meters high, how fast is the rock initially kicked? 31.25 m/s horizontally.
- 19. A2 stopped Tossing pennies… A penny is thrown horizontally of a building with a velocity of 10 m/s. If the penny lands 78 meters in front of the building, how tall is the building? It is 304.2 meters tall.
- 20. Stranded on a mountain… An airplane traveling at 80 m/s at an elevation of 250 m, drops a box of supplies to skiers stranded in a snowstorm. At what horizontal distance from the skiers should the supplies be dropped? They need to be dropped 571.43 m before target (565.69 if using 10).
- 21. Stranded on a mountain… (con’t) What is the speed of the box as it reaches the ground? It is going 106.3 m/s (106.8 m/s if using 10)
- 22. Stone throw… Paco, standing on a cliff, throws a stone with a horizontal velocity of 15.0 m/s and the stone hits the ground 47.0 m from the base of the cliff. How high is the cliff? The cliff is 48 m high.