5 Steps to a 5 500 AP Physics Questions to Know by Test Day (2012)
Chapter 3. Kinematics
61. A 10-g penny is dropped from a building that is 125 m high. The penny is initially at rest. Approximately how long does it take the penny to hit the ground?
(A) 3.2 s
(B) 4.5 s
(C) 10 s
(D) 15 s
(E) 20 s
62. A car in a drag race started from rest and accelerated constantly to a velocity of 50 m/s when it reached the end of a 500-m road. What was the car’s rate of acceleration?
(A) −5.0 m/s2
(B) −2.5 m/s2
(C) 0.5 m/s2
(D) 2.5 m/s2
(E) 5.0 m/s2
63. An airplane is flying horizontally at a velocity of 50.0 m/s at an altitude of 125 m. It drops a package to observers on the ground below. Approximately how far will the package travel in the horizontal direction from the point that it was dropped?
(A) 100 m
(B) 159 m
(C) 250 m
(D) 1,020 m
(E) 1,590 m
64. A place kicker kicks a football at a velocity of 10.0 m/s from a tee on the ground at an angle of 30° from the horizontal. Approximately how long will the ball stay in the air?
(A) 0.0 s
(B) 0.6 s
(C) 0.8 s
(D) 1.0 s
(E) 1.8 s
65. This graph depicts the motion of an object. During which time interval is the object at rest?
(A) 0–2 s
(B) 2–3 s
(C) 3–4 s
(D) 4–7 s
(E) 7–10 s
66. A car is traveling at an unknown velocity. It accelerates constantly over 5.0 s at a rate of 3.0 m/s2 to reach a velocity of 30 m/s. What was the original velocity of the car?
(A) 1.0 m/s
(B) 5.0 m/s
(C) 10 m/s
(D) 15 m/s
(E) 20 m/s
67. A plane takes off from rest and accelerates constantly at a rate of 1.0 m/s for 5 min. How far does the plane travel in this time?
(A) 15 km
(B) 30 km
(C) 45 km
(D) 90 km
(E) 150 km
68. You drop a stone down a well and hear the echo 8.9 s later. If it takes 0.9 s for the echo to travel up the well, approximately how deep is the well?
(A) 40 m
(B) 320 m
(C) 405 m
(D) 640 m
(E) 810 m
69. If you throw a ball straight up into the air, which of the following expressions represents the time at which the ball reaches its maximum height?
(A) t = vf/v0
(B) t = Δy/a
(C) t = a/(-v0)
(D) t = a/Δy
(E) t = (-v0)/a
70. [For Physics C Students Only] The position of an object can be described by the function, x(t) = 4t2 + 6 t + 2. The units of t are in s and the units of x are in m. At 4 s, what is the direction and speed of the object?
(A) 90 m/s in the original direction of motion
(B) 38 m/s in the original direction of motion
(C) 0 m/s
(D) 38 m/s opposite the original direction of motion
(E) 90 m/s opposite the original direction of motion
71. On an airless planet, an astronaut drops a hammer from a height of 15 m. The hammer hits the ground in 1 s. What is the acceleration due to the gravity on this planet?
(A) 10 m/s2
(B) 15 m/s2
(C) 20 m/s2
(D) 25 m/s2
(E) 30 m/s2
72. A car uniformly accelerates from rest at 3.0 m/s2 down a 15-m track. What is the car’s final velocity?
(A) 30 m/s
(B) 90 m/s
(C) 150 m/s
(D) 450 m/s
(E) 900 m/s
73. [For Physics C Students Only] An object’s position with time is depicted in this graph. Based on that graph, at which time points will the object’s velocity be zero?
(A) 0 s and 2 s
(B) 0 s and 4 s
(C) 1 s and 2 s
(D) 1 s and 3 s
(E) 2 s and 4 s
74. At what time point does a projectile that is launched at an angle from the ground reach its maximum height?
(A) One-fifth of the total time in the air
(B) One-fourth of the total time in the air
(C) One-half of the total time in the air
(D) Three-fifths of the total time in the air
(E) Three-fourths of the total time in the air
75. A boy drops a stone from a cliff and counts the seconds until the stone hits the base. He counts 3 s. About how high is the cliff?
(A) 3 m
(B) 10 m
(C) 15 m
(D) 45 m
(E) 90 m
76. A boy is riding a bicycle at a velocity of 5.0 m/s. He applies the brakes and uniformly decelerates to a stop at a rate of 2.5 m/s2. How long does it take for the bicycle to stop?
(A) 0.5 s
(B) 1.0 s
(C) 1.5 s
(D) 2.0 s
(E) 2.5 s
77. A police officer finds 60 m of skid marks at the scene of a car crash. Assuming a uniform deceleration of 7.5 m/s2 to a stop, at what was the initial velocity that the car was traveling when it started skidding?
(A) 20 m/s
(B) 30 m/s
(C) 45 m/s
(D) 60 m/s
(E) 90 m/s
78. The velocity–time graph of an object’s motion is shown in this graph. At 10 s, what is the object’s displacement relative to the initial time?
(A) 3 m
(B) 6 m
(C) 9 m
(D) −6 m
(E) −3 m
79. A projectile is launched with an unknown velocity at an angle of 30° from the horizontal of level ground. Which of the following statements is true?
(A) The horizontal component of velocity is less than the vertical component of velocity.
(B) The horizontal component of velocity is greater than the vertical component of velocity.
(C) Both the horizontal and vertical components of velocity are equal.
(D) The horizontal component of velocity is used to calculate the time that the projectile is in the air.
(E) The vertical component of velocity is used to calculate the range of the projectile.
80. From rest, a ball is dropped from the top of a building. It takes 4 s to hit the ground. Approximately how tall is the building?
(A) 40 m
(B) 90 m
(C) 100 m
(D) 160 m
(E) 200 m
81. The position–time graphs of five different objects are shown in these graphs. If the positive direction is forward, then which object is moving backward at a constant velocity?
(A) Object A
(B) Object B
(C) Object C
(D) Object D
(E) Object E
82. A student launches projectiles with the same velocity, but at different angles (0–90°) relative to the ground. He measures the range of each projectile. Which angle pairs have the same range?
(A) 10° and 20°
(B) 30° and 45°
(C) 30° and 60°
(D) 45° and 60°
(E) 10° and 90°
83. Upon liftoff, a rocket accelerates at a constant 20 m/s2 for 2 min. What is the rocket’s velocity at that time?
(A) 40 m/s
(B) 140 m/s
(C) 1,200 m/s
(D) 2,400 m/s
(E) 4,800 m/s
84. A car is traveling at 30 m/s. The driver applies the brakes, and the car uniformly decelerates at 9 m/s2. How far does the car travel before coming to a complete stop?
(A) 2 m
(B) 50 m
(C) 100 m
(D) 200 m
(E) 450 m
85. The position–time graph shown here is typical of which type of motion?
(A) Motion with a constant positive velocity
(B) Motion with zero velocity
(C) Motion with a constant positive acceleration
(D) Motion with zero acceleration
(E) Motion with a constant negative acceleration
86. If you drop a ball from a 100-m-tall building, approximately how far will the ball fall in 2 s?
(A) 10 m
(B) 20 m
(C) 40 m
(D) 50 m
(E) 100 m
87. An ice skater moving at 10 m/s comes to a complete stop in 0.5 s. What is the rate of acceleration?
(A) 5 m/s2
(B) 10 m/s2
(C) 20 m/s2
(D) −20 m/s2
(E) −10 m/s2
88. The position–time graph shown here is typical of which type of motion?
(A) Motion with a constant negative velocity
(B) Motion with zero velocity
(C) Motion with a constant positive acceleration
(D) Motion with zero acceleration
(E) Motion with a constant negative acceleration
89. An archer stands on a castle wall that is 45 m high. He shoots an arrow with a velocity of 10.0 m/s at an angle of 45° relative to the horizontal.
(a) Describe the path of the arrow.
(b) Determine the magnitude of the horizontal and vertical components of the arrow’s velocity.
(c) Determine how much time it takes for the arrow to reach the ground.
(d) Determine the maximum range of the arrow.
90. The acceleration versus time of a bicycle rider is shown here.
Assuming that the bicycle starts from rest (x = 0), do the following:
(a) Calculate the velocity–time data and plot a velocity–time graph.
(b) Calculate the position–time data and plot a position–time graph.
(c) Describe the motion of the bicycle. Assume that the positive direction is away from the starting point.