Question 1

A rocket, initially at rest, is fired vertically with an upward acceleration of 10 m/s2. At an altitude of 0.50 km, the engine of the rocket cuts off. What is the maximum altitude it achieves?

Accepted Answer

A)  1.9 km 
B)  1.3 km 
C)  1.6 km 
D)  1.0 km 
E)  2.1 km

Question 2

A toy rocket, launched from the ground, rises vertically with an acceleration of 20 m/s2 for 6.0 s until its motor stops. Disregarding any air resistance, what maximum height above the ground will the rocket achieve?

Accepted Answer

A)  1.1 km 
B)  0.73 km 
C)  1.9 km 
D)  0.39 km 
E)  1.5 km

Question 3

In 2.0 s, a particle moving with constant acceleration along the x axis goes from x = 10 m to x = 50 m. The velocity at the end of this time interval is 10 m/s. What is the acceleration of the particle?

Accepted Answer

A)  +15 m/s2 
B)  +20 m/s2 
C)  −20 m/s2 
D)  −10 m/s2 
E)  −15 m/s2

Question 4

An object is thrown downward with an initial (t = 0) speed of 10 m/s from a height of 60 m above the ground. At the same instant (t = 0), a second object is propelled vertically upward from ground level with a speed of 40 m/s. At what height above the ground will the two objects pass each other?

Accepted Answer

A)  53 m 
B)  41 m 
C)  57 m 
D)  46 m 
E)  37 m

Question 5

Vx is the velocity of a particle moving along the x axis as shown. If x = 2.0 m at t = 1.0 s, what is the position of the particle at t = 6.0 s?

Accepted Answer

A)  −2.0 m 
B)  +2.0 m 
C)  +1.0 m 
D)  −1.0 m 
E)  6.0 m

Question 6

In 20 minutes, Kara ran 2.40 km on a treadmill facing due east. Relative to the gym, what were her displacement and average velocity during this time interval?

Accepted Answer

A)  0; 0 
B)  0; 2.00 m/s 
C)  2.40 km, east; 0 
D)  2.40 km, east; 2.00 m/s, east 
E)  2.40 km, west; 2.00 m/s, west

Question 7

A particle starts from rest at xi = 0 and moves for 10 s with an acceleration of +2.0 cm/s2. For the next 20 s, the acceleration of the particle is −1.0 cm/s2. What is the position of the particle at the end of this motion?

Accepted Answer

A)  zero 
B)  +3.0 m 
C)  −1.0 m 
D)  +2.0 m 
E)  −3.0 m

Question 8

An automobile traveling along a straight road increases its speed from 30.0 m/s to 50.0 m/s in a distance of 180 m. If the acceleration is constant, how much time elapses while the auto moves this distance?

Accepted Answer

A)  6.00 s 
B)  4.50 s 
C)  3.60 s 
D)  4.00 s 
E)  9.00 s

Question 9

The graph below shows the velocity versus time graph for a ball. Which explanation best fits the motion of the ball as shown by the graph?

Accepted Answer

A)  The ball is falling, is caught, and is thrown down with greater velocity. 
B)  The ball is rolling, stops, and then continues rolling. 
C)  The ball is rising, hits the ceiling, and falls down. 
D)  The ball is falling, hits the floor, and bounces up. 
E)  The ball is rising, is caught, and then is thrown down.

Question 10

At t = 0, a particle is located at x = 25 m and has a velocity of 15 m/s in the positive x direction. The acceleration of the particle varies with time as shown in the diagram. What is the position of the particle at t = 5.0 s?

Accepted Answer

A)  175 m 
B)  125 m 
C)  138 m 
D)  154 m 
E)  165 m

Question 11

A speedy tortoise can run with a velocity of 10.0 cm/s and a hare can run 20.0 times as fast. In a race, they both start at the same time, but the hare stops to rest for 2.00 minutes. The tortoise wins by a shell (20.0 cm). What was the length of the race?

Accepted Answer

The answer of A speedy tortoise can run with a...

Question 12

A problem may be solved more easily when alternative representations are used. The best strategy is to formulate representations in an order that assists in understanding the physical principles involved. Of the orders given below, the one that will work best most often is

Accepted Answer

A)  pictorial representation, mathematical representation, tabular representation, mental representation. 
B)  pictorial representation, mental representation, mathematical representation, tabular representation. 
C)  mathematical representation, pictorial representation, tabular representation, mental representation. 
D)  mathematical representation, tabular representation, mental representation, pictorial representation. 
E)  mental representation, pictorial representation, tabular representation, mathematical representation.

Question 13

A 50-gram superball traveling at 25.0 m/s is bounced off a brick wall and rebounds at 22.0 m/s. A high-speed camera records this event. If the ball is in contact with the wall for 3.50 ms, what is the average acceleration of the ball during this time interval?

Accepted Answer

The answer of A 50-gram superball traveling at 25.0 m/s...

Question 14

Two identical balls are at rest and side by side at the top of a hill. You let one ball, A, start rolling down the hill. A little later you start the second ball, B, down the hill by giving it a shove. The second ball rolls down the hill along a line parallel to the path of the first ball and passes it. At the instant ball B passes ball A:

Accepted Answer

A)  it has the same position and the same velocity as A. 
B)  it has the same position and the same acceleration as A. 
C)  it has the same velocity and the same acceleration as A. 
D)  it has the same displacement and the same velocity as A. 
E)  it has the same position, displacement and velocity as A.

Question 15

A skier leaves a ski jump with a horizontal velocity of 29.4 m/s. The instant before she lands three seconds later, the magnitudes of the horizontal and vertical components of her velocity are:

Accepted Answer

A)  0; 29.4 m/s. 
B)  29.4 m/s; 0. 
C)  29.4 m/s; 29.4 m/s. 
D)  29.4 m/s; 41.6 m/s. 
E)  41.6 m/s; 41.6 m/s.

Question 16

Two identical balls are at rest side by side at the bottom of a hill. Some time after ball A is kicked up the hill, ball B is given a kick up the hill. Ball A is headed downhill when it passes ball B headed up the hill. At the instant when ball A passes ball B,

Accepted Answer

A)  it has the same position and velocity as ball B. 
B)  it has the same position and acceleration as ball B. 
C)  it has the same velocity and acceleration as ball B. 
D)  it has the same displacement and velocity as ball B. 
E)  it has the same position, displacement and velocity as ball B.

Question 17

A boy on a skate board skates off a horizontal bench at a velocity of 10 m/s. One tenth of a second after he leaves the bench, to two significant figures, the magnitudes of his velocity and acceleration are:

Accepted Answer

A)  10 m/s; 9.8 m/s2. 
B)  9.0 m/s; 9.8 m/s2. 
C)  9.0 m/s; 9.0 m/s2. 
D)  1.0 m/s; 9.0 m/s2. 
E)  1.0 m/s; 9.8 m/s2.

Question 18

A stone is thrown from the top of a building with an initial velocity of 20 m/s downward. The top of the building is 60 m above the ground. How much time elapses between the instant of release and the instant of impact with the ground?

Accepted Answer

A)  2.0 s 
B)  6.1 s 
C)  3.5 s 
D)  1.6 s 
E)  1.0 s

Question 19

A proton moving along the x axis has an initial velocity of 4.0 × 106 m/s and a constant acceleration of 6.0 × 1012 m/s2. What is the velocity of the proton after it has traveled a distance of 80 cm?

Accepted Answer

A)  5.1 × 106 m/s 
B)  6.3 × 106 m/s 
C)  4.8 × 106 m/s 
D)  3.9 × 106 m/s 
E)  2.9 × 106 m/s

Question 20

The equation that solves a problem is  . The problem is:

Accepted Answer

A)  How far above its initial position does a rock travel in 2.0 s when thrown up from a point 40 m above the ground? 
B)  How far below its initial position does a rock travel in 2.0 s when thrown up from a point 40 m above the ground? 
C)  What is the position relative to the ground of a rock thrown up at 3.0 m/s from a roof 20 m above the ground 2.0 s after it is released? 
D)  What is the change in position relative to the ground of a rock thrown up at 3.0 m/s from a roof 20 m above the ground 2.0 s after it is released? 
E)  What is the position relative to the ground of a rock thrown up at 3.0 m/s from a roof 20 m above the ground if its maximum height is 33.6 m?

Exam 2: Motion in One Dimension

A rocket, initially at rest, is fired vertically with an upward acceleration of 10 m/s². At an altitude of 0.50 km, the engine of the rocket cuts off. What is the maximum altitude it achieves?

A toy rocket, launched from the ground, rises vertically with an acceleration of 20 m/s² for 6.0 s until its motor stops. Disregarding any air resistance, what maximum height above the ground will the rocket achieve?