Question 1

An object moving along a straight line is decelerating. Which one of the following statements concerning the object's acceleration is necessarily true?

Accepted Answer

A) The value of the acceleration is positive. 
B) The direction of the acceleration is in the same direction as the displacement. 
C) An object that is decelerating has a negative acceleration. 
D) The direction of the acceleration is in the direction opposite to that of the velocity. 
E) The acceleration changes as the object moves along the line.

Question 2

A racecar, traveling at constant speed, makes one lap around a circular track of radius r in a time t. Note: The circumference of a circle is given by C=2πr.
-What is the average speed of the car for one complete lap?

Accepted Answer

A)   
B)   
C)   
D)   
E) zero meters/second

Question 3

A train with a constant speed of 16 m/s passes through a town. After leaving the town, the train accelerates at 0.33 m/s2 until it reaches a speed of 35 m/s. How far did the train travel while it was accelerating?

Accepted Answer

A) 0.029 km 
B) 0.53 km 
C) 1.5 km 
D) 2.3 km 
E) 3.0 km

Question 4

A ball is thrown vertically upward from the surface of the earth. Consider the following quantities: (1) the speed of the ball; (2) the velocity of the ball; (3) the acceleration of the ball.
Which of these is (are) zero when the ball has reached the maximum height?

Accepted Answer

A) 1 and 2 only 
B) 1 and 3 only 
C) 1 only 
D) 2 only 
E) 1, 2, and 3

Question 5

A tennis ball is shot vertically upward in an evacuated chamber inside a tower with an initial speed of 20.0 m/s at time t = 0 s.
-What is the magnitude of the acceleration of the ball when it is at its highest point?

Accepted Answer

A) zero m/s2 
B) 9.80 m/s2 
C) 19.6 m/s2 
D) 4.90 m/s2 
E) 3.13 m/s2

Question 6

Peter noticed a bug crawling along a meter stick and decided to record the bug's position in five-second intervals. After the bug crawled off the meter stick, Peter created the table shown. 
-What is the displacement of the bug between t = 0.00 s and t = 20.0 s?

Accepted Answer

A) +39.9 cm 
B) -39.9 cm 
C) +65.7 cm 
D) -16.1 cm 
E) +16.1 cm

Question 7

Carl Lewis set a world record for the 100.0-m run with a time of 9.86 s. If, after reaching the finish line, Mr. Lewis walked directly back to his starting point in 90.9 s, what is the magnitude of his average velocity for the 200.0 m?

Accepted Answer

A) 0 m/s 
B) 1.10 m/s 
C) 1.98 m/s 
D) 5.60 m/s 
E) 10.1 m/s

Question 8

A pitcher delivers a fast ball with a velocity of 43 m/s to the south. The batter hits the ball and gives it a velocity of 51 m/s to the north. What was the average acceleration of the ball during the 1.0 ms when it was in contact with the bat?

Accepted Answer

A) 4.3 × 104 m/s2, south 
B) 5.1 × 104 m/s2, north 
C) 9.4 × 104 m/s2, north 
D) 2.2 × 103 m/s2, south 
E) 7.0 × 103 m/s2, north

Question 9

A racecar, traveling at constant speed, makes one lap around a circular track of radius r in a time t. Note: The circumference of a circle is given by C=2πr.
-When the car has traveled halfway around the track, what is the magnitude of its displacement from the starting point?

Accepted Answer

A) r 
B) 2r 
C) $\pi$r 
D) 2$\pi$r 
E) zero meters

Question 10

Two cars travel along a level highway. It is observed that the distance between the cars is increasing. Which one of the following statements concerning this situation is necessarily true?

Accepted Answer

A) The velocity of each car is increasing. 
B) At least one of the cars has a non-zero acceleration. 
C) The leading car has the greater acceleration. 
D) The trailing car has the smaller acceleration. 
E) Both cars could be accelerating at the same rate.

Question 11

Ball A is dropped from rest from a window. At the same instant, ball B is thrown downward; and ball C is thrown upward from the same window. Which statement concerning the balls after their release is necessarily true if air resistance is neglected?

Accepted Answer

A) At some instant after it is thrown, the acceleration of ball C is zero. 
B) All three balls strike the ground at the same time. 
C) All three balls have the same velocity at any instant. 
D) All three balls have the same acceleration at any instant. 
E) All three balls reach the ground with the same velocity.

Question 12

A ball is shot straight up from the surface of the earth with an initial speed of 19.6 m/s.  Neglect any effects due to air resistance.
-What maximum height will the ball reach?

Accepted Answer

A) 9.80 m 
B) 14.7 m 
C) 19.6 m 
D) 24.5 m 
E) 58.8 m

Question 13

A rock, dropped from rest near the surface of an atmosphere-free planet, attains a speed of 20.0 m/s after falling 8.0 meters.
-How long did it take the object to fall the 8.0 meters mentioned?

Accepted Answer

A) 0.40 s 
B) 0.80 s 
C) 1.3 s 
D) 2.5 s 
E) 16 s

Question 14

An object starts from rest and accelerates uniformly in a straight line in the positive x direction. After 11 seconds, its speed is 70.0 m/s.
-How far does the object travel during the first 11 seconds?

Accepted Answer

A) 35 m 
B) 77 m 
C) 390 m 
D) 590 m 
E) 770 m

Question 15

A cheetah is walking at a speed of 1.15 m/s when it observes a gazelle 43.0 m directly ahead. If the cheetah accelerates at 9.25 m/s2, how long does it take the cheetah to reach the gazelle if the gazelle doesn't move?

Accepted Answer

A) 4.29 s 
B) 3.67 s 
C) 3.05 s 
D) 1.94 s 
E) 2.93 s

Question 16

A brass ball is shot vertically upward from the surface of an atmosphere-free planet with an initial speed of 20.0 m/s. One second later, the ball has an instantaneous velocity in the upward direction of 15.0 m/s.
-What is the magnitude of the acceleration due to gravity on the surface of this planet?

Accepted Answer

A) 5.0 m/s2 
B) 9.8 m/s2 
C) 12 m/s2 
D) 15 m/s2 
E) 24 m/s2

Question 17

A brick is dropped from rest from a height of 4.9 m. How long does it take the brick to reach the ground?

Accepted Answer

A) 0.6 s 
B) 1.0 s 
C) 1.2 s 
D) 1.4 s 
E) 2.0 s

Question 18

A truck accelerates from rest at point A with constant acceleration of magnitude a and, subsequently, passes points B and C as shown in the figure.  The distance between points B and C is x, and the time required for the truck to travel from B to C is t. Which expression determines the average speed of the truck between the points B and C?

Accepted Answer

A) v2 = 2ax 
B)   
C) v = xt 
D)   
E) v = at

Question 19

A car traveling along a road begins accelerating with a constant acceleration of 1.5 m/s2 in the direction of motion. After traveling 392 m at this acceleration, its speed is 35 m/s. Determine the speed of the car when it began accelerating.

Accepted Answer

A) 1.5 m/s 
B) 7.0 m/s 
C) 34 m/s 
D) 49 m/s 
E) 2.3 m/s

Question 20

In the process of delivering mail, a postal worker walks 161 m, due east from his truck. He then turns around and walks 194 m, due west from his truck. What is the worker's displacement relative to his truck?

Accepted Answer

A) 33 m, due west 
B) 33 m, due east 
C) 194 m, due west 
D) 252 m, due east 
E) 355 m, due west

Exam 2: Kinematics in One Dimension

An object moving along a straight line is decelerating. Which one of the following statements concerning the object's acceleration is necessarily true?

A racecar, traveling at constant speed, makes one lap around a circular track of radius r in a time t. Note: The circumference of a circle is given by C=2πr. -What is the average speed of the car for one complete lap?

A train with a constant speed of 16 m/s passes through a town. After leaving the town, the train accelerates at 0.33 m/s² until it reaches a speed of 35 m/s. How far did the train travel while it was accelerating?

A ball is thrown vertically upward from the surface of the earth. Consider the following quantities: (1) the speed of the ball; (2) the velocity of the ball; (3) the acceleration of the ball. Which of these is (are) zero when the ball has reached the maximum height?

A tennis ball is shot vertically upward in an evacuated chamber inside a tower with an initial speed of 20.0 m/s at time t = 0 s. -What is the magnitude of the acceleration of the ball when it is at its highest point?

Peter noticed a bug crawling along a meter stick and decided to record the bug's position in five-second intervals. After the bug crawled off the meter stick, Peter created the table shown. -What is the displacement of the bug between t = 0.00 s and t = 20.0 s?

Carl Lewis set a world record for the 100.0-m run with a time of 9.86 s. If, after reaching the finish line, Mr. Lewis walked directly back to his starting point in 90.9 s, what is the magnitude of his average velocity for the 200.0 m?

A pitcher delivers a fast ball with a velocity of 43 m/s to the south. The batter hits the ball and gives it a velocity of 51 m/s to the north. What was the average acceleration of the ball during the 1.0 ms when it was in contact with the bat?

A racecar, traveling at constant speed, makes one lap around a circular track of radius r in a time t. Note: The circumference of a circle is given by C=2πr. -When the car has traveled halfway around the track, what is the magnitude of its displacement from the starting point?

Two cars travel along a level highway. It is observed that the distance between the cars is increasing. Which one of the following statements concerning this situation is necessarily true?

Ball A is dropped from rest from a window. At the same instant, ball B is thrown downward; and ball C is thrown upward from the same window. Which statement concerning the balls after their release is necessarily true if air resistance is neglected?

A ball is shot straight up from the surface of the earth with an initial speed of 19.6 m/s. Neglect any effects due to air resistance. -What maximum height will the ball reach?

A rock, dropped from rest near the surface of an atmosphere-free planet, attains a speed of 20.0 m/s after falling 8.0 meters. -How long did it take the object to fall the 8.0 meters mentioned?

An object starts from rest and accelerates uniformly in a straight line in the positive x direction. After 11 seconds, its speed is 70.0 m/s. -How far does the object travel during the first 11 seconds?

A cheetah is walking at a speed of 1.15 m/s when it observes a gazelle 43.0 m directly ahead. If the cheetah accelerates at 9.25 m/s², how long does it take the cheetah to reach the gazelle if the gazelle doesn't move?

A brick is dropped from rest from a height of 4.9 m. How long does it take the brick to reach the ground?

A car traveling along a road begins accelerating with a constant acceleration of 1.5 m/s²in the direction of motion. After traveling 392 m at this acceleration, its speed is 35 m/s. Determine the speed of the car when it began accelerating.

In the process of delivering mail, a postal worker walks 161 m, due east from his truck. He then turns around and walks 194 m, due west from his truck. What is the worker's displacement relative to his truck?