1. Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative

2. Position vs. Time graphs TOC Position in meters Time in seconds 5 s 4 m (still at 2, 2 in 5, 4 in 2, -4 in 4) Slope = rise/run Slope = Velocity

3. Whiteboards: Position vs. time 11 | 2 | 3 | 4234 TOC

4. W Position in meters Time in seconds 5 s 5 m What is the velocity at 2.0 seconds?.67 m/s

5. W Position in meters Time in seconds 5 s 5 m What is the velocity at 4.0 seconds? 0

6. W Position in meters Time in seconds 5 s 5 m What is the velocity at 6.2 seconds? 2.0 m/s

7. W Position in meters Time in seconds 5 s 5 m What is the velocity at 8.15 seconds? -3.0 m/s

8. Whiteboards: Qualitative Position vs. time TOC

9. Position in meters Time in seconds 5 s 5 m What’s going on here?

10. Position in meters Time in seconds 5 s 5 m What’s going on here?

11. Position in meters Time in seconds 5 s 5 m What’s going on here?

12. Position in meters Time in seconds 5 s 5 m What’s going on here?

13. Position in meters Time in seconds 5 s 5 m What’s going on here?

14. Position in meters Time in seconds 5 s 5 m What’s going on here?

15. Position in meters Time in seconds 5 s 5 m What’s going on here?

16. Position in meters Time in seconds 5 s 5 m What’s going on here?

17. Position in meters Time in seconds 5 s 5 m What’s going on here?

18. Position in meters Time in seconds 5 s 5 m v at 6.0 s =?Find the tangent slope Finding instantaneous velocity 5.1/5.95.86 ms

19. Position in meters Time in seconds 5 s 5 m What is the velocity at 3.0 seconds? 3/7.6 =.39 m/s

20. Position in meters Time in seconds 5 s 5 m What’s the velocity at 6.0 seconds? -2.85/4.5 = -.62 m/s

21. Position in meters Time in seconds 5 s 5 m What’s the velocity at 6.0 seconds? 5.65/6.9 =.82 m/s

22. Velocity vs. Time graphs TOC Velocity (m/s) Time in seconds 5 s 4 m/s Slope = rise/run Slope = acceleration (show driving on a road) Area under is Displacement 3 m/s for 5 seconds How far? LxW = ?

23. Velocity vs. Time graphs TOC Velocity (m/s) Time in seconds 5 s 4 m/s Slope = rise/run Slope = acceleration (show driving on a road) Area under is Displacement Now how far?

24. Whiteboards: Velocity vs. time 11 | 2 | 3 | 4234 TOC

25. velocity in m/s Time in seconds 5 s 5 m/s What is the acceleration at 1.15887 seconds? 1.5 m/s/s

26. velocity in m/s Time in seconds 5 s 5 m/s What is the acceleration at 8.1 seconds? -.5 m/s/s

27. velocity in m/s Time in seconds 5 s 5 m/s What displacement between 2 and 4 seconds? 6.0 m

28. velocity in m/s Time in seconds 5 s 5 m/s What displacement between 4 and 7 seconds? 13.5 m

29. Whiteboards: Qualitative Velocity vs. time TOC

30. Time + V What’s going on here? 0 m/s - V

31. Time + V What’s going on here? 0 m/s - V

32. Time + V What’s going on here? 0 m/s - V

33. Time + V What’s going on here? 0 m/s - V

34. Time + V What’s going on here? 0 m/s - V

35. Time + V What’s going on here? 0 m/s - V

36. Position Time Here is what it is as position v time