Question 1

The velocity of a projectile equals its initial velocity added to:

Accepted Answer

A)   a constant horizontal velocity
B)   a constant vertical velocity
C)   a constantly increasing horizontal velocity
D)   a constantly increasing downward velocity
E)   a constant velocity directed at the targetF) A) and B)
G) A) and C)

Question 2

The airplane shown is in level flight at an altitude of 0.50 km and a speed of 150 km/h. At what distance d should it release a heavy bomb to hit the target X? Take g = 10 m/s2. 2.   A)  150 m B)  295 m C)  417 m D)  1500 m E)  15,000 m" class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)   150 m
B)   295 m
C)   417 m
D)   1500 m
E)   15,000 mF) B) and D)
G) D) and E) C

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 greatF) C) and D)
G) B) and C) C

Question 4

An object is moving on a circular path of radius   π\piπ  meters at a constant speed of 4.0 m/s. The time required for one revolution is:

Accepted Answer

A)   2/  π\piπ 2 s
B)     π\piπ 2/2 s
C)     π\piπ /2 s
D)     π\piπ 2/4 s
E)   2/  π\piπ  s F) B) and E)
G) A) and D)

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: 2, the lengths X,Y,Z are:   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" class="answers-bank-image d-inline" rel="preload" >

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 mF) C) and E)
G) D) and E)

Question 6

Which of the curves on the graph below best represents the vertical component vy versus t for a projectile fired at an angle of 45  °\degree°  above the horizontal? y versus t for a projectile fired at an angle of 45  \degree  above the horizontal?   A)  OC B)  DE C)  AB D)  AE E)  AF " class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)   OC
B)   DE
C)   AB
D)   AE
E)   AF F) A) and D)
G) C) and D)

Question 7

A Ferris wheel with a radius of 8.0m makes 1 revolution every 10 s. When he is at the top, essentially a diameter above the ground, he releases a ball. How far from the point on the ground directly under the release point does the ball land?

Accepted Answer

A)   0 m
B)   1.0 m
C)   8.0 m
D)   9.1 m
E)   16 mF) B) and C)
G) A) and E)

Question 8

Which of the following is a vector quantity?

Accepted Answer

A)   Mass
B)   Density
C)   Speed
D)   Temperature
E)   None of theseF) C) and D)
G) A) and D)

Question 9

A ball is thrown horizontally from the top of a 20-m high hill. It strikes the ground at an angle of 45  °\degree° . With what speed was it thrown? Use g = 10 m/s2. 2.   A)  14 m/s B)  20 m/s C)  28 m/s D)  32 m/s E)  40 m/s " class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)   14 m/s
B)   20 m/s
C)   28 m/s
D)   32 m/s
E)   40 m/s F) None of the above
G) B) and D)

Question 10

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) F) A) and D)
G) A) and E) A

Question 11

Identical guns fire identical bullets horizontally at the same speed from the same height above level planes, one on the Earth and one on the Moon. Which of the following three statements is/are true? I. The horizontal distance traveled by the bullet is greater for the Moon.
II)  The flight time is less for the bullet on the Earth.
III)  The velocities of the bullets at impact are the same.

Accepted Answer

A)   III only
B)   I and II only
C)   I and III only
D)   II and III only
E)   I, II, IIIF) A) and E)
G) C) and D)

Question 12

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 timesF) A) and B)
G) B) and D)

Question 13

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-axisF) B) and E)
G) A) and E)

Question 14

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 sF) A) and E)
G) B) and E)

Question 15

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)   60 m
E)   none of theseF) All of the above
G) A) and E)

Question 16

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) F) C) and E)
G) B) and E)

Question 17

Two bodies are falling with negligible air resistance, side by side, above a horizontal plane. If one of the bodies is given an additional horizontal acceleration during its descent, it:

Accepted Answer

A)   strikes the plane at the same time as the other body
B)   strike the plane earlier than the other body
C)   has the vertical component of its velocity altered
D)   has the vertical component of its acceleration altered
E)   follows a straight line path along the resultant acceleration vectorF) C) and D)
G) C) and E)

Question 18

A girl jogs around a horizontal circle with a constant speed. She travels one fourth of a revolution, a distance of 25 m along the circumference of the circle, in 5.0 s. The magnitude of her acceleration is:

Accepted Answer

A)   0.31 m/s2
B)   1.3 m/s2
C)   1.6 m/s2
D)   3.9 m/s2
E)   6.3 m/s2F) All of the above
G) B) and C)

Question 19

An object has a velocity of (5.4 m/s)  − (4.8 m/s) . Over a period of 1.3 s, its velocity changes to (1.7 m/s)  + (5.9 m/s) . What is its acceleration?

Accepted Answer

A)   −(3.7 m/s)  + (11 m/s) 
B)   −(2.8 m/s)  + (8.2 m/s) 
C)   (3.7 m/s)  + (11 m/s) 
D)   (2.8 m/s)  + (8.2 m/s) 
E)   −(2.8 m/s)  + (1.1 m/s) F) B) and D)
G) B) and C)

Question 20

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 lineF) C) and D)
G) All of the above

Exam 4: Motion in Two and Three Dimensions

The velocity of a projectile equals its initial velocity added to:

Correct Answer
verified

The airplane shown is in level flight at an altitude of 0.50 km and a speed of 150 km/h. At what distance d should it release a heavy bomb to hit the target X? Take g = 10 m/s².

Correct Answer
verified
C

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:

Correct Answer
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C

An object is moving on a circular path of radius $\pi$ meters at a constant speed of 4.0 m/s. The time required for one revolution is:

Correct Answer
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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:

Correct Answer
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Correct Answer
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A Ferris wheel with a radius of 8.0m makes 1 revolution every 10 s. When he is at the top, essentially a diameter above the ground, he releases a ball. How far from the point on the ground directly under the release point does the ball land?

Correct Answer
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Which of the following is a vector quantity?

Correct Answer
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Correct Answer
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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?

Correct Answer
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A

Correct Answer
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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.

Correct Answer
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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?

Correct Answer
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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:

Correct Answer
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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

Correct Answer
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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?

Correct Answer
verified

Two bodies are falling with negligible air resistance, side by side, above a horizontal plane. If one of the bodies is given an additional horizontal acceleration during its descent, it:

Correct Answer
verified

A girl jogs around a horizontal circle with a constant speed. She travels one fourth of a revolution, a distance of 25 m along the circumference of the circle, in 5.0 s. The magnitude of her acceleration is:

Correct Answer
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An object has a velocity of (5.4 m/s) − (4.8 m/s) . Over a period of 1.3 s, its velocity changes to (1.7 m/s) + (5.9 m/s) . What is its acceleration?

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

Correct Answer
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Exam 4: Motion in Two and Three Dimensions

The velocity of a projectile equals its initial velocity added to:

Correct AnswerverifiedShow Answer

The airplane shown is in level flight at an altitude of 0.50 km and a speed of 150 km/h. At what distance d should it release a heavy bomb to hit the target X? Take g = 10 m/s2.

Correct AnswerverifiedC

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:

Correct AnswerverifiedC

An object is moving on a circular path of radius π\piπ meters at a constant speed of 4.0 m/s. The time required for one revolution is:

Correct AnswerverifiedShow Answer

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:

Correct AnswerverifiedShow Answer

Which of the curves on the graph below best represents the vertical component vy versus t for a projectile fired at an angle of 45 °\degree° above the horizontal?

Correct AnswerverifiedShow Answer

A Ferris wheel with a radius of 8.0m makes 1 revolution every 10 s. When he is at the top, essentially a diameter above the ground, he releases a ball. How far from the point on the ground directly under the release point does the ball land?

Correct AnswerverifiedShow Answer

Which of the following is a vector quantity?

Correct AnswerverifiedShow Answer

A ball is thrown horizontally from the top of a 20-m high hill. It strikes the ground at an angle of 45 °\degree° . With what speed was it thrown? Use g = 10 m/s2.

Correct AnswerverifiedShow Answer

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?

Correct AnswerverifiedA

Correct AnswerverifiedShow Answer

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.

Correct AnswerverifiedShow Answer

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?

Correct AnswerverifiedShow Answer

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:

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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?

Correct AnswerverifiedShow Answer

Two bodies are falling with negligible air resistance, side by side, above a horizontal plane. If one of the bodies is given an additional horizontal acceleration during its descent, it:

Correct AnswerverifiedShow Answer

A girl jogs around a horizontal circle with a constant speed. She travels one fourth of a revolution, a distance of 25 m along the circumference of the circle, in 5.0 s. The magnitude of her acceleration is:

Correct AnswerverifiedShow Answer

An object has a velocity of (5.4 m/s) − (4.8 m/s) . Over a period of 1.3 s, its velocity changes to (1.7 m/s) + (5.9 m/s) . What is its acceleration?

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

Correct Answer
verified

The airplane shown is in level flight at an altitude of 0.50 km and a speed of 150 km/h. At what distance d should it release a heavy bomb to hit the target X? Take g = 10 m/s².

Correct Answer
verified
C

Correct Answer
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C

An object is moving on a circular path of radius $\pi$ meters at a constant speed of 4.0 m/s. The time required for one revolution is:

Correct Answer
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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:

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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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?

Correct Answer
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A

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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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

Correct Answer
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Correct Answer
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