1. One Dimensional Motion

2. How far something has moved
Distance
How far something has moved

3. Distance
Scalar quantity

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

5. Displacement
A vector quantity

6. The interval between two occurrences
Time
The interval between two occurrences

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

8. 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
df = di + vti
d = di + vt

17. Distance vs Time Graph

18. Distance vs Time Graph

20. Acceleration
a = Dv/Dt a = vf - vi tf - ti

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

22. Displacement
d =
di + vit + ½ at2

23. Displacement
df =
di + vit + ½ at2

24. v2 =
vi2 + 2 a(df – di)
v2 = vi2 + 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. vf = vi + at
d = vit + ½ at2
vf2 = vi2+ 2ad

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

33. A car starts 200. 0 m west of town, and moves at 15 m/s east
A car starts m west of town, and moves at 15 m/s east. 1) write its best equation 2) where will the car be at 10.0 s 3) When will the car be in town

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

38. Velocity vs Time Graphs

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

40. a = slope
= Dy/Dx
= Dv/Dt
= 62/5
= 12.4 m/s2

41. d = area under curve

42. Define each of the following
Distance Displacement
Speed Velocity
Acceleration

43. Describe the motion for each series

44. Drill:
The velocity of a car is increased from 25 to 75 m/s west in 10.0 s. Calculate: a & d

45. vf = vi + at
d = vit + ½ at2
vf2 = vi2+ 2ad

46. Describe the motion between each interval

47. Describe the motion of each series

48. 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.

49. Make the following conversions: a) 10 m/s to km/hr b) 72 mph to m/s
1.6 km/mile

50. 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.

51. A truck starts 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

52. A car increases its velocity from 4.0 m/s to 36 m/s over 4.0 s.
Calculate: a & d

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

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

55. Drill:A car is coasting backwards at 3. 0 m/s when its engine starts
Drill: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.
Calculate a & d

56. Motion Variables: vi vf a t d

57. Make a chart like the one to the rightvi vf a t d

58. A car going 4.0 m/s accelerates at 3.0 m/s2 for 4.0 s.
Calculate: vf & d

59. A car slows from 44 m/s to 22 m/s in 11 s.
Calculate: a & d

60. Motion Affected by Gravity

61. A force of attraction between two masses
Gravity
A force of attraction between two masses

62. This force causes objects to accelerate towards each other
Gravity
This force causes objects to accelerate towards each other

63. Gravity
The acceleration of gravity is relatively constant over the Earth’s surface

64. Acceleration of Gravity (ag or g)
9.81 m/s2
Down or (-)

65. Any object in air will have a vertical acceleration of
Gravity
Any object in air will have a vertical acceleration of
-9.81 m/s2

66. A ball is dropped from a 0. 49 km cliff
A ball is dropped from a 0.49 km cliff. The acceleration of gravity is -9.8 m/s2.
Calculate: vmax & t

67. HW: A ball is thrown straight up at 19. 6 m/s
HW: A ball is thrown straight up at 19.6 m/s. The acceleration of gravity is -9.8 m/s2.
Calculate: hmax & tair

68. Drill: A ball is dropped from a ledge & lands 8.0 s later.
Calculate: hledge & vmax

69. Homework
Problems: 27 – 30
Page 103

70. Drill
A ball drops from 0.49 km.
Calculate: tair & vmax

71. Calculate its tair, vf, & hmax
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/s2.
Calculate its tair, vf, & hmax

72. A ball was dropped & landed at 70. 0 m/s
A ball was dropped & landed at 70.0 m/s. The acceleration of gravity is -9.8 m/s2.
Calculate: d & tair

73. A pumpkin was dropped from a plane & stayed in air for 10. 0 s
A pumpkin was dropped from a plane & stayed in air for 10.0 s. The acceleration of gravity is m/s2. Calculate:
h & vmax.

74. Homework
Problems:
Page 106

75. Calculate its tair, vf, & hmax
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/s2.
Calculate its tair, vf, & hmax

76. A ball is shot straight up to a height of 1. 96 km
A ball is shot straight up to a height of km. The acceleration of gravity is -9.8 m/s2.
Calculate: tair & vi

77. Drill: A car increases its velocity from 36 km/hr to 72 km/hr in 5.0 s. Calculate: a & d

78. A car rolling backwards at 5.0 m/s accelerates at
3.0 m/s2 for 4.0 s.
Calculate: vfinal & d

79. A car rolling backwards at 25. 0 m/s accelerates at 5. 0 m/s2 for 12
A car rolling backwards at 25.0 m/s accelerates at 5.0 m/s2 for 12.0 s.
Calculate: vf & d

80. Homework
Problems:
Page 112 & 113

81. Drill: A ball is thrown straight up at 9800 cm/s.
Calculate: tair & hmax

82. A ball is thrown straight down at 25 m/s & stays in air for 4.0 s.
g = -9.8 m/s2
Calculate: initial height
& vf of the ball.

83. A ball is thrown straight up to a height of 49 m.
g = -9.8 m/s2
Calculate: vi & tair

84. Homework
Problems:
Page 114

85. Drill: A ball is thrown straight sideways & lands in 5. 0 s
Drill: A ball is thrown straight sideways & lands in 5.0 s. Calculate: initial height & vmax down

86. Calculate: a & d during that time.
A car rolling backwards at 5.0 m/s accelerates to 11 m/s forward in 4.0 s.
Calculate: a & d during that time.

87. A car going 36 km/hr slams on brakes, but still hits a tree at 6
A car going 36 km/hr slams on brakes, but still hits a tree at 6.0 km/hr after 1.0 s. Calculate: a & d during that time.

93. Drill: A ball is thrown straight up and hits the ground in 6.0 sec.
Calculate: hmax & vi

94. Test Date
Wednesday 10/25/06

95. 36 km/hr to 54 km/hr in 5.0 s. Calculate: a & d during that time.
Drill: A car goes from
36 km/hr to 54 km/hr in 5.0 s. Calculate: a & d during that time.

96. Matching Stuff
Formulas
Definitions
Units

97. Definitions Motion Position Velocity Speed Distance Displacement
Time Acceleration

98. Units
Displacement
Time
Velocity
Acceleration

100. A ball is thrown straight up at 49 m/s. Calculate: tair & hmax

101. Calculate: a & d during that time.
A car rolling backwards at 6.0 km/hr accelerates to 30.0 km/hr forward in 6.0 s.
Calculate: a & d during that time.

102. A ball is thrown straight up to a height of 490 m. Calculate: tair & vi