1. Motion graphs Position (displacement) vs. time Distance vs. time
Speed vs. times
Velocity vs. time
Acceleration vs. time
________

2. Speed constant (zero acceleration) Slope represents the speed
Motion graphs
Distance vs. Time
If linear
Speed constant (zero acceleration)
Slope represents the speed

3. If linear (horizontal) Speed constant (zero acceleration)
Motion graphs
Velocity vs. Time
If linear (horizontal)
Speed constant (zero acceleration)
Slope represents the acceleration

4. If linear (non horizontal) Speed constant (zero acceleration)
Motion graphs
Velocity vs. Time
If linear (non horizontal)
Speed constant (zero acceleration)
Slope represents the acceleration

5. Motion graphs
Distance vs. Time
A car travels at a constant velocity, covering the same distance in equal time intervals, 50 km each hour.
An d-versus-t plot is therefore a straight line. The slope of the line is equal to the velocity.
The average velocity equals the instantaneous velocity in this case. Why?

6. Motion graphs
Velocity vs. Time

7. Motion graphs Distance vs. Time IF LINEAR Speed constant
Slope = the speed
Speed vs. Time horizontal
Acceleration is zero
IF NON-LINEAR (parabolic)
Speed not constant
Speed changing at a constant rate
Speed vs. time linear
Slope of speed vs. time equals the acceleration
Acceleration non-zero constant

8. Motion graphs Distance vs. Time
The displacement-time graph of a body is as shown:
                                                             
Calculate the velocity over the first 5-second period.
Calculate the velocity from 5s to 8s.
Calculate the velocity for the last two seconds.
What is the total displacement covered?
What is the average velocity over the entire 10-second stretch?

10. Motion graphs
Distance vs. Time

11. Motion graphs
Velocity vs. Time
Slope equals the acceleration
Area under the curve equals the displacement (distance)

12. Motion graphs
Distance vs. Time

13. Motion graphs
Speed vs. Time
distance = speed × time.
distance = 30 × 20 = 600 m
Area = 30 × 20 = 600 m.
Slope = acceleration Area under curve = distance/displacement

14. Motion graphs
Velocity vs. Time
Slope = acceleration Area under curve = distance/displacement

15. The velocity-time graph of a body is as shown:
Motion graphs
Velocity vs. Time
link
The velocity-time graph of a body is as shown:
                                        
                             
Over what time interval is the body not accelerating?
What is the acceleration between t = 0 and t = 5?
What is the total displacement covered by the body?
What is the average velocity between t = 0 and t = 8?
What is the average velocity between t = 0 and t = 10?

16. Motion graphs
Speed vs. Time
Slope = acceleration Area under curve = distance/displacement

17. Distance/Speed/Acceleration vs. Time
Motion graphs
Distance/Speed/Acceleration vs. Time

18. Distance/Speed/Acceleration vs. Time
Motion graphs
Distance/Speed/Acceleration vs. Time
Constant Velocity
Zero acceleration
Increasing Velocity
Constant positive acceleration

19. Increasing Positive Speed Area under speed curve equals the distance
Motion graphs
Distance/Speed/Acceleration vs. Time
Link
Increasing Positive Speed
Area under speed curve equals the distance

20. Motion graphs
Speed vs. Time
Slope = acceleration Area under curve = distance/displacement

21. Motion graphs
Acceleration vs. Time

22. Distance/Speed/Acceleration vs. Time
Motion graphs
Distance/Speed/Acceleration vs. Time
Constant Positve Velocity

23. Distance/Speed/Acceleration vs. Time
Motion graphs
Distance/Speed/Acceleration vs. Time
Constant Negative Velocity

24. Distance/Speed/Acceleration vs. Time
Motion graphs
Distance/Speed/Acceleration vs. Time
Increasing Positive Velocity

25. Distance/Speed/Acceleration vs. Time
Motion graphs
Distance/Speed/Acceleration vs. Time
Increasing Negative Velocity

26. Distance/Speed/Acceleration vs. Time
Motion graphs
Distance/Speed/Acceleration vs. Time
Decreasing Negative Velocity

27. Distance/Speed/Acceleration vs. Time
Motion graphs
Distance/Speed/Acceleration vs. Time
Decreasing Positive Velocity

28. Distance/Speed/Acceleration vs. Time
Motion graphs
Distance/Speed/Acceleration vs. Time

29. Distance/Speed/Acceleration vs. Time
link
Motion graphs
Distance/Speed/Acceleration vs. Time