1. Chapter 2 Motion in one dimension

2. s, v, a Displacement: ( m ) Where you are Velocity: ( m/s ) The rate of change of displacement Acceleration: ( m/s 2 ) The rate of change of velocity Note: Your textbook use x instead of s

3. Equations

4. Quick Examples

5. Useful facts about slope y x 0

6. The Signs of Slope ( m ) m >0m <0 m =0

7. Slope = ± Rise over Run

8. Alternatively You need two points to find a slope!

9. Find the slopes

10. Important: Unit of Slope!!! Do not ignore the units! Different graph has different units. Unit of slope = (unit of y-axis) / (unit of x-axis)

11. Unit of Slope!!! Unit of slope = (unit of y-axis) / (unit of x-axis)

12. Three graphs slope area

13. Summary

14. Find the velocity at t = 1s, 2s Hint: Find the slope

15. At t = 1s

16. At t = 2s

17. The sign of slope

18. Find the acceleration at t = 1s, 3s, 5.7s, 6.5s, 8s, 10s Hint: Find the slopes at these times. Velocity (m/s)

19. Find a at t = 1s, 3s, 5.7s, 6.5s, 8s, 10s Velocity (m/s)

20. Instantaneous velocity versus average velocity All the velocity we dealt with so far are “instantaneous velocity”, not “average velocity”. Unless stated explicitly, velocity in general means “instantaneous velocity”.

21. Which is which? Questions about velocity are asked in either one of the two ways:

22. Average v or Instantaneous v?

23. Displacement and Area

24. Find the area How far has the object traveled from 0s to 4s?

25. negative Watch out for negative area! Velocity (m/s) Time (s) 0 1m/s -1m/s 2s 4s negative If a line goes under the x-axis, the area it encloses is treated as negative. + -

26. Change of velocity is the area under the acceleration-time curve + -

27. If you don’t already know this…

28. Find the displacement between the following times: Hint: Find the area. Velocity (m/s) 1)0s to 5s 2)5s to 6s 3)6s to 10s 4)8s to 11s 5)2s to 8s

29. Find the displacement between the following times: Velocity (m/s) 1)0s to 5s

30. Find the displacement between the following times: Velocity (m/s) 5s to 6s

31. Find the displacement between the following times: Velocity (m/s) 6s to 10s

32. Find the displacement between the following times: Velocity (m/s) 8s to 11s

33. Find the displacement between the following times: Velocity (m/s) 2s to 8s

35. Sample 01

36. Sample 02