Question 1

A bullet shot horizontally from a gun:

Accepted Answer

A) strikes the ground much later than one dropped vertically from the same point at the same instant 
B) never strikes the ground 
C) strikes the ground at approximately the same time as one dropped vertically from the same point at the same instant 
D) travels in a straight line 
E) strikes the ground much sooner than one dropped from the same point at the same instant 
A) strikes the ground much later than one dropped vertically from the same point at the same instant 
B) never strikes the ground 
C) strikes the ground at approximately the same time as one dropped vertically from the same point at the same instant 
D) travels in a straight line 
E) strikes the ground much sooner than one dropped from the same point at the same instant C

Question 2

A dart is thrown horizontally toward X at 20 m/s as shown.It hits Y 0.1 s later.The distance XY is:

Accepted Answer

A) 2 m 
B) 1 m 
C) 0.5 m 
D) 0.1 m 
E) 0.05 m 
A) 2 m 
B) 1 m 
C) 0.5 m 
D) 0.1 m 
E) 0.05 m E

Question 3

A stone is tied to a string and whirled at constant speed in a horizontal circle.The speed is then doubled without changing the length of the string.Afterward the magnitude of the acceleration of the stone is:

Accepted Answer

A) the same 
B) twice as great 
C) four times as great 
D) half as great 
E) one-fourth as great 
A) the same 
B) twice as great 
C) four times as great 
D) half as great 
E) one-fourth as great C

Question 4

A large cannon is fired from ground level over level ground at an angle of 30$\degree$ above the horizontal.The muzzle speed is 980 m/s.Neglecting air resistance, the projectile will travel what horizontal distance before striking the ground?

Accepted Answer

A) 4.3 km 
B) 8.5 km 
C) 43 km 
D) 85 km 
E) 170 km 
A) 4.3 km 
B) 8.5 km 
C) 43 km 
D) 85 km 
E) 170 km

Question 5

A cannon fires a projectile as shown.The dashed line shows the trajectory in the absence of gravity; points MNOP correspond to the position of the projectile at one second intervals.If g = 10 m/s2, the lengths X,Y,Z are:

Accepted Answer

A) 5 m, 10 m, 15 m 
B) 5 m, 20 m, 45 m 
C) 10 m, 40 m, 90 m 
D) 10 m, 20 m, 30 m 
E) 0.2 m, 0.8 m, 1.8 m 
A) 5 m, 10 m, 15 m 
B) 5 m, 20 m, 45 m 
C) 10 m, 40 m, 90 m 
D) 10 m, 20 m, 30 m 
E) 0.2 m, 0.8 m, 1.8 m

Question 6

An object moves from x = -2.1 m, y = 3.7 m, z = 1.4 m to x = 3.3 m, y = -1.1 m, z = 4.2 m in a time of 5.3 s.What is its average velocity?

Accepted Answer

A) (0.23 m/s)+ (0.49 m/s)+ (0.53 m/s) 
B) (5.4 m/s)− (4.8 m/s)+ (2.8 m/s) 
C) (1.0 m/s)− (0.91 m/s)+ (0.53 m/s) 
D) (1.0 m/s)+ (0.91 m/s)+ (1.1 m/s) 
E) −(1.0 m/s)+ (0.91 m/s)+ (0.53 m/s) 
A) (0.23 m/s)+ (0.49 m/s)+ (0.53 m/s) 
B) (5.4 m/s)− (4.8 m/s)+ (2.8 m/s) 
C) (1.0 m/s)− (0.91 m/s)+ (0.53 m/s) 
D) (1.0 m/s)+ (0.91 m/s)+ (1.1 m/s) 
E) −(1.0 m/s)+ (0.91 m/s)+ (0.53 m/s)

Question 7

A car rounds a 20-m radius curve at a speed of 10 m/s.The magnitude of its acceleration is:

Accepted Answer

A) 0 m/s2 
B) 0.20 m/s2 
C) 5.0 m/s2 
D) 40 m/s2 
E) 400 m/s2 
A) 0 m/s2 
B) 0.20 m/s2 
C) 5.0 m/s2 
D) 40 m/s2 
E) 400 m/s2

Question 8

Two objects are traveling around different circular orbits with constant speed.They both have the same acceleration but object A is traveling twice as fast as object B.The orbit radius for object A is _______ the orbit radius for object B.

Accepted Answer

A) one-fourth 
B) one-half 
C) the same as 
D) twice 
E) four times 
A) one-fourth 
B) one-half 
C) the same as 
D) twice 
E) four times

Question 9

A boat is able to move through still water at 20 m/s.It makes a round trip to a town 3.0 km upstream.If the river flows at 5 m/s, the time required for this round trip is:

Accepted Answer

A) 120 s 
B) 150 s 
C) 200 s 
D) 300 s 
E) 320 s 
A) 120 s 
B) 150 s 
C) 200 s 
D) 300 s 
E) 320 s

Question 10

What is the difference between speed and velocity?

Accepted Answer

A) Speed is the magnitude of velocity; velocity is a vector and has both magnitude and direction. 
B) There is no difference. 
C) Speed is the rate at which something moves, while velocity is the direction in which it moves. 
D) Speed is used when describing motion in one dimension, while velocity is used when describing motion in two dimensions. 
E) Speed is the rate at which velocity changes. 
A) Speed is the magnitude of velocity; velocity is a vector and has both magnitude and direction. 
B) There is no difference. 
C) Speed is the rate at which something moves, while velocity is the direction in which it moves. 
D) Speed is used when describing motion in one dimension, while velocity is used when describing motion in two dimensions. 
E) Speed is the rate at which velocity changes.

Question 11

A stone thrown from the top of a tall building follows a path that is:

Accepted Answer

A) circular 
B) made of two straight line segments 
C) hyperbolic 
D) parabolic 
E) a straight line 
A) circular 
B) made of two straight line segments 
C) hyperbolic 
D) parabolic 
E) a straight line

Question 12

Two projectiles are in flight at the same time.The acceleration of one relative to the other:

Accepted Answer

A) is always 9.8 m/s2 
B) can be as large as 19.6 m/s2 
C) can be horizontal 
D) is zero 
E) none of these 
A) is always 9.8 m/s2 
B) can be as large as 19.6 m/s2 
C) can be horizontal 
D) is zero 
E) none of these

Question 13

A boy on the edge of a vertical cliff 20 m high throws a stone horizontally outwards with a speed of 20 m/s.It strikes the ground at what horizontal distance from the foot of the cliff? Use g = 10 m/s2

Accepted Answer

A) 10 m 
B) 40 m 
C) 50 m 
D) 50.0 m 
E) none of these 
A) 10 m 
B) 40 m 
C) 50 m 
D) 50.0 m 
E) none of these

Question 14

Sally starts from home, walks 300 m east and then 500 m south, and arrives at her school.How far, in a straight line, is Sally's school from her home?

Accepted Answer

A) 300 m 
B) 500 m 
C) 580 m 
D) 640 m 
E) 800 m 
A) 300 m 
B) 500 m 
C) 580 m 
D) 640 m 
E) 800 m

Question 15

A boat is traveling upstream at 14 mph with respect to a river that is flowing at 6 mph (with respect to the ground).A man runs directly across the boat, from one side to the other, at 6 mph (with respect to the boat).The speed of the man with respect to the ground is:

Accepted Answer

A) 10 mph 
B) 14 mph 
C) 18.5 mph 
D) 21 mph 
E) 26 mph 
A) 10 mph 
B) 14 mph 
C) 18.5 mph 
D) 21 mph 
E) 26 mph

Question 16

An airplane makes a gradual 90$\degree$ turn while flying at a constant speed of 200 m/s.The process takes 20.0 seconds to complete.For this turn the magnitude of the average acceleration of the plane is:

Accepted Answer

A) 0 m/s2 
B) 40 m/s2 
C) 20 m/s2 
D) 14 m/s2 
E) 10 m/s2 
A) 0 m/s2 
B) 40 m/s2 
C) 20 m/s2 
D) 14 m/s2 
E) 10 m/s2

Question 17

The velocity of an object as a function of time is given by v = (12.5t − 7.2t2)+ (4.3t3).What is its acceleration as a function of time?

Accepted Answer

A) a = (12.5 − 14.4t)+ (12.9t2) 
B) a = (−7.2)+ (4.3t) 
C) a = (5.3t)+ (12.9t2) 
D) a = (−7.2)+ (8.6t) 
E) a = (−14.4t)+ (4.3t2) 
A) a = (12.5 − 14.4t)+ (12.9t2) 
B) a = (−7.2)+ (4.3t) 
C) a = (5.3t)+ (12.9t2) 
D) a = (−7.2)+ (8.6t) 
E) a = (−14.4t)+ (4.3t2)

Question 18

A bomber flying in level flight with constant velocity drops a bomb before it is over the target.Neglecting air resistance, which one of the following is NOT true?

Accepted Answer

A) The bomber is over the target when the bomb strikes 
B) The acceleration of the bomb is constant 
C) The horizontal velocity of the plane equals the vertical velocity of the bomb when it hits the target 
D) The bomb travels in a curved path 
E) The time of flight of the bomb is independent of the horizontal speed of the plane 
A) The bomber is over the target when the bomb strikes 
B) The acceleration of the bomb is constant 
C) The horizontal velocity of the plane equals the vertical velocity of the bomb when it hits the target 
D) The bomb travels in a curved path 
E) The time of flight of the bomb is independent of the horizontal speed of the plane

Question 19

An object moves from x = -2.1 m, y = 3.7 m to x = 3.3 m, y = -1.1 m in a time of 5.3 s.What is its average velocity?

Accepted Answer

A) 7.2 m/s, 32° below the positive x-axis 
B) 2.5 m/s, 48° below the positive x-axis 
C) 1.4 m/s, 42° below the positive x-axis 
D) 4.9 m/s, 76° below the positive x-axis 
E) 0.92 m/s, 14° below the positive x-axis 
A) 7.2 m/s, 32° below the positive x-axis 
B) 2.5 m/s, 48° below the positive x-axis 
C) 1.4 m/s, 42° below the positive x-axis 
D) 4.9 m/s, 76° below the positive x-axis 
E) 0.92 m/s, 14° below the positive x-axis

Question 20

For a biological sample in a 1.0-m radius centrifuge to have a centripetal acceleration of 25g its speed must be:

Accepted Answer

A) 11 m/s 
B) 16 m/s 
C) 50 m/s 
D) 122 m/s 
E) 245 m/s 
A) 11 m/s 
B) 16 m/s 
C) 50 m/s 
D) 122 m/s 
E) 245 m/s

Exam 4: Motion in Two and Three Dimensions

A bullet shot horizontally from a gun:

A dart is thrown horizontally toward X at 20 m/s as shown.It hits Y 0.1 s later.The distance XY is:

A stone is tied to a string and whirled at constant speed in a horizontal circle.The speed is then doubled without changing the length of the string.Afterward the magnitude of the acceleration of the stone is:

A large cannon is fired from ground level over level ground at an angle of 30 °\degree° above the horizontal.The muzzle speed is 980 m/s.Neglecting air resistance, the projectile will travel what horizontal distance before striking the ground?

A cannon fires a projectile as shown.The dashed line shows the trajectory in the absence of gravity; points MNOP correspond to the position of the projectile at one second intervals.If g = 10 m/s2, the lengths X,Y,Z are:

An object moves from x = -2.1 m, y = 3.7 m, z = 1.4 m to x = 3.3 m, y = -1.1 m, z = 4.2 m in a time of 5.3 s.What is its average velocity?

A car rounds a 20-m radius curve at a speed of 10 m/s.The magnitude of its acceleration is:

Two objects are traveling around different circular orbits with constant speed.They both have the same acceleration but object A is traveling twice as fast as object B.The orbit radius for object A is _______ the orbit radius for object B.

A boat is able to move through still water at 20 m/s.It makes a round trip to a town 3.0 km upstream.If the river flows at 5 m/s, the time required for this round trip is:

What is the difference between speed and velocity?

A stone thrown from the top of a tall building follows a path that is:

Two projectiles are in flight at the same time.The acceleration of one relative to the other:

A boy on the edge of a vertical cliff 20 m high throws a stone horizontally outwards with a speed of 20 m/s.It strikes the ground at what horizontal distance from the foot of the cliff? Use g = 10 m/s2

Sally starts from home, walks 300 m east and then 500 m south, and arrives at her school.How far, in a straight line, is Sally's school from her home?

A boat is traveling upstream at 14 mph with respect to a river that is flowing at 6 mph (with respect to the ground).A man runs directly across the boat, from one side to the other, at 6 mph (with respect to the boat).The speed of the man with respect to the ground is:

An airplane makes a gradual 90 °\degree° turn while flying at a constant speed of 200 m/s.The process takes 20.0 seconds to complete.For this turn the magnitude of the average acceleration of the plane is:

The velocity of an object as a function of time is given by v = (12.5t − 7.2t2)+ (4.3t3).What is its acceleration as a function of time?

A bomber flying in level flight with constant velocity drops a bomb before it is over the target.Neglecting air resistance, which one of the following is NOT true?

An object moves from x = -2.1 m, y = 3.7 m to x = 3.3 m, y = -1.1 m in a time of 5.3 s.What is its average velocity?

For a biological sample in a 1.0-m radius centrifuge to have a centripetal acceleration of 25g its speed must be:

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Force and Motion I

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Kinetic Energy and Work

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Rolling, Torque, and Angular Momentum

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A large cannon is fired from ground level over level ground at an angle of 30 $\degree$ above the horizontal.The muzzle speed is 980 m/s.Neglecting air resistance, the projectile will travel what horizontal distance before striking the ground?

A cannon fires a projectile as shown.The dashed line shows the trajectory in the absence of gravity; points MNOP correspond to the position of the projectile at one second intervals.If g = 10 m/s², the lengths X,Y,Z are:

A boy on the edge of a vertical cliff 20 m high throws a stone horizontally outwards with a speed of 20 m/s.It strikes the ground at what horizontal distance from the foot of the cliff? Use g = 10 m/s²

An airplane makes a gradual 90 $\degree$ turn while flying at a constant speed of 200 m/s.The process takes 20.0 seconds to complete.For this turn the magnitude of the average acceleration of the plane is:

The velocity of an object as a function of time is given by v = (12.5t − 7.2t²)+ (4.3t³).What is its acceleration as a function of time?