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 =  y/  x

12. Slope On a distance vs time graph: Slope =  d/  t

13. Slope Slope =  d/  t Slope = velocity

14. Average Velocity v =  d/  t v = d 1 – d 0 t 1 – t 0

15. Displacement d 1 = d 0 + vt 1 d = d 0 + vt

17. Distance vs Time Graph

20. Acceleration a =  v/  t a = v 1 - v 0  t 1 - t 0

21. Velocity v = v 0 + at v f = v i + at

22. Displacement d = d 0 + v 0 t + ½ at 2

23. Displacement d f = d i + v i t + ½ at 2

24. v 2 = v 0 2 + 2 a(d 1 – d 0 ) v 2 = v 0 2 + 2ad

25. v f 2 = v i 2 + 2ad

26. v = v 0 + at d = d 0 + v 0 t + ½ at 2 v 2 = v 0 2 + 2ad

27. v = v 0 + at v f = v i + at

28. d = d 0 + v 0 t + ½ at 2 d f = d i + v i t + ½ at 2

29. d f = d i + v i t + ½ at 2 d = v i t + ½ at 2

30. v 2 = v 0 2 + 2ad v f 2 = v i 2 + 2ad

31. f f = v i + at d = v i t + ½ at 2 v f 2 = v i 2 + 2ad

32. Drill A ball is dropped from 490 m. Calculate its: v f & t air

33. Determining Instantaneous Velocity 1)Graph the  d/  t data 2)Draw tangent to point of interest 3)Determine slope of tangent

37. Velocity vs Time Graphs

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

39. a = slope =  y/  x =  v/  t = 62/5 = 12.4 m/s

40. d = area under curve

41. Define each of the following DistanceDisplacement SpeedVelocity 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/hr b) 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 equation 2) where will the car be at 10 min 3) 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

51. The same car slows from 36 m/s to 15 m/s in 3.0 s. 1) Calculate the average acceleration & dis

52. A car is coasting backwards at 3.0 m/s when its engine starts. After 2.5 s the car is going 4.5 m/s. 1) Calculate the average acceleration & displacement

53. A car going 4.0 m/s accelerates at 3.0 m/s 2 for 4.0 s. 1) Calculate its final velocity & displacement

54. A car slows from 44 m/s to 22 m/s in 11 s. Calculate its acceleration & displacement

55. A car accelerates from 15 m/s to 25 m/s in 125 m. 1) Calculate its time & acceleration

56. A ball is dropped from a 0.49 km cliff. The acceleration of gravity is -9.8 m/s 2. 1) Calculate its time in air & final velocity

57. A ball is thrown straight up at 19.6 m/s. The acceleration of gravity is -9.8 m/s 2. 1) Calculate its time in air & maximum height

58. A man on the ground shoots a gun straight up & the bullet exits the barrel at 980 m/s. The acceleration of gravity is -9.8 m/s 2. Calculate its time in air, v f, & maximum height

59. A cannon on a 2500 m cliff is fired straight up & the ball exits the barrel at 0.98 km/s. The acceleration of gravity is -9.8 m/s 2. Calculate its time in air, v f, & maximum height

60. A ball is shot straight up to a height of 1.96 km. The acceleration of gravity is -9.8 m/s 2. 1) Calculate its time in air & final velocity.

61. A ball was dropped & landed at 70.0 m/s. The acceleration of gravity is -9.8 m/s 2. 1) Calculate its height & time in air.

62. A pumpkin was dropped from a plane & stayed in air for 10.0 s. The acceleration of gravity is -9.81 m/s 2. 1) Calculate its height & final velocity.

63. A car increases its velocity from 36 km/hr to 72 km/hr in 5.0 s. Calculate its acceleration & displacement during that time.

64. A car rolling backwards at 5.0 m/s accelerates at 3.0 m/s 2 for 4.0 s. Calculate its final velocity & displacement during that time.

65. A car rolling backwards at 25.0 m/s accelerates at 5.0 m/s 2 for 12.0 s. Calculate its final velocity & displacement during that time.

66. A ball is thrown straight up at 9800 cm/s. Calculate the maximum height of the ball & its time in air.

67. A ball is thrown straight down at 25 m/s & stays in air for 4.0 s. g = -9.8 m/s 2 Calculate the initial height & v f of the ball.

68. A ball is thrown straight up to a height of 49 m. g = -9.8 m/s 2 Calculate the initial velocity & time in air.

69. A ball is thrown straight sideways & lands in 5.0 s. g = -9.8 m/s 2 Calculate the final down velocity & height.

70. A car rolling backwards at 5.0 m/s accelerates to 11 m/s forward in 4.0 s. Calculate its acceleration & displacement during that time.

71. A car going 36 km/hr slams on brakes, but still hits a tree at 6.0 km/hr after 1.0 s. Calculate: its acceleration & displacement during that time.

77. A ball is thrown straight up and hits the ground in 6. sec. Calculate the ball’s max height & max velocity.

78. A car goes from 36 km/hr to 54 km/hr in 5.0 s. Calculate: its acceleration & displacement during that time.

80. A ball is thrown straight up at 49 m/s. Calculate the time in air & the max height.

81. A car rolling backwards at 6.0 km/hr accelerates to 30.0 km/hr forward in 6.0 s. Calculate its acceleration & displacement during that time.