1. One Dimensional Motion

2. Distance • How far something has moved

3. Distance • Scalar quantity

4. Displacement • How far something is from its starting position

5. Displacement • A vector quantity

6. Time • The interval between two occurrences

7. Uniform Motion • Equal displacement occurs during successive equal time intervals

8. Uniform Motion • Velocity is constant during uniform motion

10. Distance vs Time Graph

11. Slope • Slope = rise/run • Slope = Dy/Dx

12. Slope • On a distance vs time graph: • Slope = Dd/Dt

13. Slope • Slope = Dd/Dt • Slope = velocity

14. Average Velocity • v = Dd/Dt • v = d1 – d0 • t1 – t0

15. Displacement • d1 = d0 + vt1 • d = d0 + vt

17. Distance vs Time Graph

18. Distance vs Time Graph

20. Acceleration a =Dv/Dta =v1- v0t1- t0

21. Velocity v = v0 + at vf = vi + at

22. Displacement d = d0 + v0t + ½ at2

23. Displacement df = di + vit + ½ at2

24. v2 = v02 + 2 a(d1 – d0) v2 = v02 + 2ad

25. vf2 = vi2 + 2ad

26. v = v0 + at d = d0 + v0t + ½ at2 v2 = v02 + 2ad

27. v = v0 + at vf = vi + at

28. d = d0 + v0t + ½ at2 df = di + vit + ½ at2

29. df = di + vit + ½ at2 d = vit + ½ at2

30. v2 = v02 + 2ad vf2 = vi2 + 2ad

31. ff = vi + at d = vit + ½ at2 vf2 = vi2+ 2ad

32. Drill A ball is dropped from 490 m. Calculate its: vf & tair

33. Determining Instantaneous Velocity • Graph the Dd/Dt data • Draw tangent to point of interest • Determine slope of tangent

37. Velocity vs Time Graphs

38. a = slope d = xy or vt d = area

39. a = slope = Dy/Dx = Dv/Dt = 62/5 = 12.4 m/s

40. d = area under curve

41. Define each of the following • Distance Displacement • Speed Velocity • Acceleration

42. Describe the motion for each series

43. Describe the motion between each interval

44. Describe the motion of each series

45. Draw a position time graph for a person who walks uniformly from the positive side of the origin back thru the origin to the negative side. Repeat for the negative side.

46. Make the following conversions:a) 10 m/s to km/hrb) 72 mph to m/s 1.6 km/mile

47. Draw a position time graph of a person who walks one block briskly, waits at a traffic light, walks the next block slowly, waits at another light, then runs the last block.

48. A car starts 200.0 m west of town, and moves at 15 m/s east.1) write its best equation2) where will the car be at 10 min3) When will the car be in town

49. A truck starts 400.0 m east of town, and moves at 12 m/s west Find the time & place where the car from the last problem & the truck will be at the same place

50. A car increases its velocity from 4.0 m/s to 36 m/s over 4.0 s. 1) Calculate the average acceleration