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Motion Diagrams and The Particle Model
- For most of the problems, details of the object are irrelevant and we can treat the object as a point. This simplification is called "Particle Model"
- The Motion of an object can be shown using Motion Diagrams
- Motion Diagram is a diagram which shows the position of the object at equally spaced time intervals (snapshots!)
- If the space between snapshots remains constant, the object moves with constant velocity.
- If the space between snapshots is getting bigger, the object is accelerating.
- If the space between snapshots is getting smaller, the object is decelerating.
- Displacement vector is a vector connecting two consecutive points.
- The direction of the average velocity is the same as the direction of displacement vector and is called direction of motion! So, it motion diagrams it is a vector parallel to displacement vector!
- The acceleration vector in a motion diagram could be found by subtracting two consecutive velocities and is usually shown as a vector next to the points.

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Example: Motion Diagram
A kid releases a ball from the height of above the ground. The ball hits the ground and bounces off to the height of above the ground. Draw the motion diagram of the ball.

Practice: Position vs. Time Graphs
Describe the motion depicted in each of the following graphs:

A.
Deceleration in the Upwards Direction
B.
Constant Velocity in the negative North Direction
C.
Acceleration in the West Direction
D.
Deceleration in the West Direction
E.
Constant Velocity in the negative North Direction
A
B
C
D
E