1. Motion Graph Shapes

2. Objective Relate position, velocity, and acceleration
Analyze and interpret position- time graphs for objects in motion.
Draw velocity- time and acceleration –time graphs for objects in motion.

3. Instructions
Use the slope of the position-time graph to draw a corresponding velocity- time and acceleration- time graph for each of the constant acceleration scenarios shown.

4. 1. Object is not moving, maintaining a constant position.

5. 2. The object is moving in the positive direction at a constant velocity.

6. 3. The object is moving in the negative direction at a constant velocity.

7. 4. The object is moving in the negative direction at a constant velocity.

8. 5. The object is moving in the positive direction at a constant velocity.

9. 6. The object starts from rest and begins moving in the positive direction with an increasing velocity.

10. 7.The object starts from rest and begins moving in the negative direction with an increasing velocity.
Best represents an object in free fall.

11. 8. The object starts with a high velocity and begins to slow down, moving in the negative direction, until coming to a stop.

12. 9. The object starts with a high velocity and begins to slow down, moving in the positive direction, until coming to a stop.

13. 10. The object starts with a high velocity and then begins to slow down, until turning around ( velocity = 0) and speeding up in the negative direction.

14. 11. The object starts with a high velocity, moving in the negative direction, then slows down and turns around ( velocity = 0) before speeding back up and moving in the positive direction.

15. Position - Time Graphs
The slope of a position time graph describes the velocity of the object.
A positive slope means a positive velocity ( moving in a positive direction)
A negative slope means a negative velocity ( moving in a negative direction)
A changing slope means a changing velocity ( accelerating)
Increasing slope = increasing velocity
Decreasing slope = decreasing velocity

16. Velocity - Time Graphs
The slope of a velocity time graph describes the acceleration
No slope means a constant velocity and no acceleration
A positive slope means a positive acceleration ( not necessarily speeding up )
Anything above the time axis means a positive velocity ( moving in a positive direction)
Anything below the time axis means a negative velocity ( moving in a negative direction)

17. Acceleration – Time Graphs
If there is a constant Velocity Acceleration Equals Zero
If there is constant Acceleration the Acceleration does not equal zero
The direction of acceleration depends on two things
1. Whether the object is speeding up or slowing down
2. Whether the object is moving in the positive or negative direction.
If an object is slowing down, then its acceleration is in the opposite direction of its motion.