Question 1

In a race, Marcos runs 1.00 mile in 4.02 min, mounts a bicycle, and rides back to his starting point, which is also the finish line, in 3.02 min. What is the magnitude of Marcos' average velocity for the race?

Accepted Answer

A) zero mi/h 
B) 12.1 mi/h 
C) 14.9 mi/h 
D) 17.0 mi/h 
E) 19.9 mi/h

Question 2

A car is moving at a constant velocity when it is involved in a collision. The car comes to rest after 0.450 s with an average acceleration of 60.0 m/s2 in the direction opposite that of the car's velocity. What was the speed, in km/h, of the car before the collision?

Accepted Answer

A) 29.2 km/h 
B) 44.8 km/h 
C) 97.2 km/h 
D) 105 km/h 
E) 144 km/h

Question 3

The figure shows the speed as a function of time for an object in free fall near the surface of the earth.  The object was dropped from rest in a long evacuated cylinder.
-What is the speed of the object 3.0 seconds after it is dropped?

Accepted Answer

A) 3.0 m/s 
B) 7.7 m/s 
C) 9.8 m/s 
D) 29 m/s 
E) This cannot be determined since there is no specified value of height.

Question 4

Alexa's hair grows with an average speed of 3.5 × 10-9 m/s. How long does it take her hair to grow 0.30 m? Note: 1 yr = 3.156 × 107 s.

Accepted Answer

A) 1.9 yr 
B) 1.3 yr 
C) 0.37 yr 
D) 5.4 yr 
E) 2.7 yr

Question 5

A landing airplane makes contact with the runway with a speed of 75.0 m/s and moves toward the south. After 18.5 seconds, the airplane comes to rest. What is the average acceleration of the airplane during the landing?

Accepted Answer

A) 2.11 m/s2, north 
B) 2.11 m/s2, south 
C) 4.05 m/s2, north 
D) 4.05 m/s2, south 
E) 14.3 m/s2, north

Question 6

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.
-Approximately how long does it take the tennis ball to reach its maximum height?

Accepted Answer

A) 0.50 s 
B) 2.04 s 
C) 4.08 s 
D) 6.08 s 
E) 9.80 s

Question 7

An object is moving along a straight line. The graph shows the object's position from the starting point as a function of time.

-At which time or times does the object reverse its direction of motion?

Accepted Answer

A) 1 s and 2 s 
B) 2 s and 5 s 
C) 1 s 
D) 2 s 
E) 5 s

Question 8

For which one of the following situations will the path length equal the magnitude of the displacement?

Accepted Answer

A) A toy train is traveling around a circular track. 
B) A ball is rolling down an inclined plane. 
C) A train travels 5 miles east before it stops. It then travels 2 miles west. 
D) A ball rises and falls after being thrown straight up from the earth's surface. 
E) A ball on the end of a string is moving in a vertical circle.

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.
-Which one of the following statements concerning this car is true?

Accepted Answer

A) The displacement of the car does not change with time. 
B) The instantaneous velocity of the car is constant. 
C) The average speed of the car is the same over any time interval. 
D) The average velocity of the car is the same over any time interval. 
E) The average speed of the car over any time interval is equal to the magnitude of the average velocity over the same time interval.

Question 10

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.
-Determine the acceleration of the object.

Accepted Answer

A) +3.5 m/s2 
B) +6.4 m/s2 
C) -3.5 m/s2 
D) -6.4 m/s2 
E) +7.7 m/s2

Question 11

The rate at which the acceleration of an object changes with time is called a jerk. What is the dimension of the jerk?

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 12

The graph shows the height versus time of an object. Estimate the instantaneous velocity, in m/s, of the object at time t = 15 min.

Accepted Answer

A) 0.90 m/s 
B) 0.70 m/s 
C) 0.50 m/s 
D) 0.30 m/s 
E) 0.10 m/s

Question 13

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.
-How long does it take the ball to reach its maximum height?

Accepted Answer

A) 2.0 s 
B) 2.3 s 
C) 4.0 s 
D) 4.6 s 
E) 8.0 s

Question 14

The figure shows the speed as a function of time for an object in free fall near the surface of the earth.  The object was dropped from rest in a long evacuated cylinder.
-What is the numerical value of the slope of the line?

Accepted Answer

A) 1.0 m/s2 
B) 2.0 m/s2 
C) 7.7 m/s2 
D) 9.8 m/s2 
E) This cannot be determined from the information given since the speed and time values are unknown.

Question 15

An object is moving along a straight line. The graph shows the object's velocity as a function of time.

-What is the acceleration of the object in the interval from t = 5 s to t = 6 s?

Accepted Answer

A) -40 m/s2 
B) +40 m/s2 
C) -20 m/s2 
D) +20 m/s2 
E) -10 m/s2

Question 16

A automotive test driver travels due north in a prototype hybrid vehicle at 30 mi/h for 2 hours. She then reverses her direction and travels due south at 60 mi/h for 1 hour.
-What is the average velocity of the vehicle?

Accepted Answer

A) zero mi/h 
B) 40 mi/h, north 
C) 40 mi/h, south 
D) 45 mi/h, north 
E) 45 mi/h, south

Question 17

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.
-How long is the ball in the air when it returns to its original position?

Accepted Answer

A) 4.0 s 
B) 4.6 s 
C) 8.0 s 
D) 9.2 s 
E) 16 s

Question 18

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.
-How much time elapses between the throwing of the ball and its return to the original launch point?

Accepted Answer

A) 4.00 s 
B) 2.00 s 
C) 12.0 s 
D) 8.00 s 
E) 16.0 s

Question 19

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.
-Determine the magnitude of the average velocity of the car for one complete lap.

Accepted Answer

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

Question 20

A small object is released from rest and falls 1.00 × 10S1U1P12S1S1P0 feet near the surface of the earth. Neglect air resistance.
-Approximately how fast will the object be moving after falling through the 1.00 × 102 feet mentioned?

Accepted Answer

A) 9.8 ft/s 
B) 40 ft/s 
C) 80 ft/s 
D) 160 ft/s 
E) 320 ft/s

Exam 2: Kinematics in One Dimension

In a race, Marcos runs 1.00 mile in 4.02 min, mounts a bicycle, and rides back to his starting point, which is also the finish line, in 3.02 min. What is the magnitude of Marcos' average velocity for the race?

A car is moving at a constant velocity when it is involved in a collision. The car comes to rest after 0.450 s with an average acceleration of 60.0 m/s² in the direction opposite that of the car's velocity. What was the speed, in km/h, of the car before the collision?

The figure shows the speed as a function of time for an object in free fall near the surface of the earth. The object was dropped from rest in a long evacuated cylinder. -What is the speed of the object 3.0 seconds after it is dropped?

Alexa's hair grows with an average speed of 3.5 × 10^-⁹m/s. How long does it take her hair to grow 0.30 m? Note: 1 yr = 3.156 × 10⁷s.

A landing airplane makes contact with the runway with a speed of 75.0 m/s and moves toward the south. After 18.5 seconds, the airplane comes to rest. What is the average acceleration of the airplane during the landing?

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. -Approximately how long does it take the tennis ball to reach its maximum height?

An object is moving along a straight line. The graph shows the object's position from the starting point as a function of time. -At which time or times does the object reverse its direction of motion?

For which one of the following situations will the path length equal the magnitude of the displacement?

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. -Which one of the following statements concerning this car is true?

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. -Determine the acceleration of the object.

The rate at which the acceleration of an object changes with time is called a jerk. What is the dimension of the jerk?

The graph shows the height versus time of an object. Estimate the instantaneous velocity, in m/s, of the object at time t = 15 min.

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. -How long does it take the ball to reach its maximum height?

The figure shows the speed as a function of time for an object in free fall near the surface of the earth. The object was dropped from rest in a long evacuated cylinder. -What is the numerical value of the slope of the line?

An object is moving along a straight line. The graph shows the object's velocity as a function of time. -What is the acceleration of the object in the interval from t = 5 s to t = 6 s?

A automotive test driver travels due north in a prototype hybrid vehicle at 30 mi/h for 2 hours. She then reverses her direction and travels due south at 60 mi/h for 1 hour. -What is the average velocity of the vehicle?

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. -How long is the ball in the air when it returns to its original position?

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. -How much time elapses between the throwing of the ball and its return to the original launch point?

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. -Determine the magnitude of the average velocity of the car for one complete lap.

A small object is released from rest and falls 1.00 × 10² feet near the surface of the earth. Neglect air resistance. -Approximately how fast will the object be moving after falling through the 1.00 × 10² feet mentioned?

Exam 2: Kinematics in One Dimension

In a race, Marcos runs 1.00 mile in 4.02 min, mounts a bicycle, and rides back to his starting point, which is also the finish line, in 3.02 min. What is the magnitude of Marcos' average velocity for the race?

A car is moving at a constant velocity when it is involved in a collision. The car comes to rest after 0.450 s with an average acceleration of 60.0 m/s2 in the direction opposite that of the car's velocity. What was the speed, in km/h, of the car before the collision?

The figure shows the speed as a function of time for an object in free fall near the surface of the earth. The object was dropped from rest in a long evacuated cylinder. -What is the speed of the object 3.0 seconds after it is dropped?

Alexa's hair grows with an average speed of 3.5 × 10-9 m/s. How long does it take her hair to grow 0.30 m? Note: 1 yr = 3.156 × 107 s.

A landing airplane makes contact with the runway with a speed of 75.0 m/s and moves toward the south. After 18.5 seconds, the airplane comes to rest. What is the average acceleration of the airplane during the landing?

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. -Approximately how long does it take the tennis ball to reach its maximum height?

An object is moving along a straight line. The graph shows the object's position from the starting point as a function of time. -At which time or times does the object reverse its direction of motion?

For which one of the following situations will the path length equal the magnitude of the displacement?

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. -Which one of the following statements concerning this car is true?

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. -Determine the acceleration of the object.

The rate at which the acceleration of an object changes with time is called a jerk. What is the dimension of the jerk?

The graph shows the height versus time of an object. Estimate the instantaneous velocity, in m/s, of the object at time t = 15 min.

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. -How long does it take the ball to reach its maximum height?

The figure shows the speed as a function of time for an object in free fall near the surface of the earth. The object was dropped from rest in a long evacuated cylinder. -What is the numerical value of the slope of the line?

An object is moving along a straight line. The graph shows the object's velocity as a function of time. -What is the acceleration of the object in the interval from t = 5 s to t = 6 s?

A automotive test driver travels due north in a prototype hybrid vehicle at 30 mi/h for 2 hours. She then reverses her direction and travels due south at 60 mi/h for 1 hour. -What is the average velocity of the vehicle?

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. -How long is the ball in the air when it returns to its original position?

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. -How much time elapses between the throwing of the ball and its return to the original launch point?

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. -Determine the magnitude of the average velocity of the car for one complete lap.

A small object is released from rest and falls 1.00 × 102 feet near the surface of the earth. Neglect air resistance. -Approximately how fast will the object be moving after falling through the 1.00 × 102 feet mentioned?

A car is moving at a constant velocity when it is involved in a collision. The car comes to rest after 0.450 s with an average acceleration of 60.0 m/s² in the direction opposite that of the car's velocity. What was the speed, in km/h, of the car before the collision?

Alexa's hair grows with an average speed of 3.5 × 10^-⁹m/s. How long does it take her hair to grow 0.30 m? Note: 1 yr = 3.156 × 10⁷s.

A small object is released from rest and falls 1.00 × 10² feet near the surface of the earth. Neglect air resistance. -Approximately how fast will the object be moving after falling through the 1.00 × 10² feet mentioned?