Kinematics+think+then+mc
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A student drew a diagram of a car slowing down to stop at a stoplight. The student left off the signs for the initial position (x0), initial velocity (v0), and acceleration (a). The correct signs are positive for x0, negative for v0, and negative for a, as the car is traveling west initially, slowing down, and stopping before reaching the origin.
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- A planar graph can be drawn in a plane without edge crossings, while a non-planar graph cannot be drawn this way.
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The document describes how to find the equation of a parabola given a square with an area of 18 units squared. It explains that the side length is the square root of 18, which is 3 units. Drawing a diagonal splits the square into two triangles, and using the Pythagorean theorem on one finds the diagonal length is also 3 units. Tilting the square identifies the vertices of the parabola as (3,3) and (-3,3). Plugging one of these points into the standard parabola equation yields the value of a as 1/3, giving the final equation y=x^2/3.
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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 ...
Kinematics displacement velocity graphs
This document discusses kinematics of a particle moving in a straight line. It explains that motion can be represented using speed-time graphs, distance-time graphs, or acceleration-time graphs. The gradient of a speed-time graph represents acceleration, while the area under the graph represents distance traveled. Several examples are provided of constructing and interpreting these graphs to analyze different scenarios of linear motion.
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The document discusses motion, including:
1. Defining displacement and distance travelled.
2. Calculating speed using the equation speed = distance/time.
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This document contains multiple physics problems involving concepts like kinematics, forces, gravity, and projectile motion. The problems involve calculating values like displacement, velocity, acceleration, and time for objects moving with constant or changing speed in one or two dimensions. The document tests understanding of equations of motion and how to apply concepts like initial velocity, acceleration, displacement, and time intervals to solve for unknown values.
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AP Physics - Chapter 2 Powerpoint
This document provides an overview of key concepts in kinematics including:
1) Kinematics deals with concepts of motion without considering forces, while dynamics considers the effects of forces on motion.
2) Displacement, speed, velocity, acceleration, and equations of motion for constant acceleration are introduced.
3) Applications include analyzing the motion of falling bodies and interpreting position-time and velocity-time graphs.
04 Graphs-Physical Science Grade 11 ABM/TVL-ICT
1. The document contains graphs and explanations of distance-time graphs and velocity-time graphs. It discusses how the slope of the graphs relates to velocity and acceleration, and how the area under the curves relates to distance traveled.
2. Examples are provided of calculating distance and velocity from velocity-time graphs by dividing the graphs into sections and calculating the area of each individual section.
3. The document also provides practice problems involving interpreting kinematic relationships from graphs and calculating values like distance, velocity, and acceleration based on the graphs.
Chapter 2 ppt
The document discusses motion in one dimension, including displacement, velocity, acceleration, and free fall. It defines key terms like displacement as a change in position, average velocity as displacement over time, and acceleration. Examples show how to calculate displacement, velocity, and acceleration using equations. Free fall acceleration is constant at about 10 m/s^2 downward. Graphs of position, velocity, and acceleration over time are used to represent motion.
QR 1 Lesson Notes 8 - Motivation for Modelling with Linear Functions PP Show
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Acceleration And Equations Of Motion 2
The document provides information about motion under uniform acceleration including:
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Lecture03
This document summarizes key concepts from a physics lecture on kinematics, including definitions of position, displacement, velocity, acceleration, and relative velocity. Examples of graphs such as position vs. time, velocity vs. time, and acceleration vs. time are provided to illustrate these concepts. The document also provides examples of calculating relative velocity when objects are moving relative to both stationary and non-stationary reference frames.
Lecture03
This document summarizes key concepts from a physics lecture on kinematics, including definitions of position, displacement, velocity, acceleration, and relative velocity. Examples of graphing position vs time, velocity vs time, and acceleration vs time are provided, as well as examples of calculating relative velocity when objects are moving relative to each other in different reference frames.
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Kinematics+think+then+mc
- 1. A stoplight 20 m to the west turns yellow. Your car is traveling west at 12 m/s. You hit the brakes and decelerate at a rate of 6.0 m/s 2 . Your car stops before it reaches the stoplight (which is considered to be at the origin). A student in a physics class made a picture of this. t o = 0 s x o = + 20 m v o = – 12 m/s a = – 6.0 m/s 2 Which of the following is labeled wrong? 1 x o 2 v o 3 a 4 a & v o 5 all of the values are correct Did the student mislabel anything? x
- 2. A student in a physics class made a picture of the situation but did not include the signs of the variables. t o = 0 s x o = __ 20 m v o = __ 12 m/s a = __ 6.0 m/s 2 What are the signs of the three missing variables? x o v o a 1 + – – 2 + – + 3 + + – 4 + + + 5 – – + A stoplight 20 m to the west turns yellow. Your car is traveling west at 12 m/s. You hit the brakes and decelerate at a rate of 6.0 m/s 2 . Your car stops before it reaches the stoplight (which is considered to be at the origin). x
- 5. 1 + – 2 + + 3 – + 4 – – A bicycle is moving on the road. Its motion is described by the graph below. v o a Below is a mathematical description of the same motion. What should the signs of v o and a be to be consistent with the above graphical description? v t
- 6. A hot air balloon is stationary in the sky as seen in the picture. A person throws a ball up in the air at 5 m/s. Which set of mathematical representations best matches this process? 1. V f = (5.0 m/s) + (10 m/s 2 ) t 2. V f = ( - 5.0 m/s) + (10 m/s 2 ) t 3. V f = (5.0 m/s) + ( - 10 m/s 2 ) t 4. V f = ( - 5.0 m/s) + ( - 10 m/s 2 ) t 5. Either 2 or 3 are correct Construct a mathematical representation that best matches this process.
- 10. A car is moving along the road as seen in the motion diagram below. Which mathematical representation below could match this process? 1. V f = (5.0 m/s) + (10 m/s 2 ) t 2. V f = ( - 5.0 m/s) + (10 m/s 2 ) t 3. V f = (5.0 m/s) + ( - 10 m/s 2 ) t 4. V f = ( - 5.0 m/s) + ( - 10 m/s 2 ) t 5. Either 2 or 3 are correct Construct a mathematical representation that could match this process. x + v final v initial