Question 1

This graph shows the position of a particle as a function of time.What is its instantaneous velocity at t = 7s?

Accepted Answer

A) 3 m/s 
B) -3 m/s 
C) 12 m/s 
D) -12 m/s 
E) Need additional information. 
A) 3 m/s 
B) -3 m/s 
C) 12 m/s 
D) -12 m/s 
E) Need additional information.

Question 2

A baseball is thrown vertically into the air.The acceleration of the ball at its highest point is:

Accepted Answer

A) zero 
B) g, down 
C) g, up 
D) 2g.down 
E) 2g, up 
A) zero 
B) g, down 
C) g, up 
D) 2g.down 
E) 2g, up

Question 3

A car travels 40 kilometers at an average speed of 80 km/h and then travels 40 kilometers at an average speed of 40 km/h.The average speed of the car for this 80 km trip is:

Accepted Answer

A) 40 km/h 
B) 45 km/h 
C) 53 km/h 
D) 60 km/h 
E) 80 km/h 
A) 40 km/h 
B) 45 km/h 
C) 53 km/h 
D) 60 km/h 
E) 80 km/h

Question 4

The graph represents the straight line motion of a car.How far does the car travel between t = 2 seconds and t = 5 seconds?

Accepted Answer

A) 4 m 
B) 12 m 
C) 24 m 
D) 36 m 
E) 60 m 
A) 4 m 
B) 12 m 
C) 24 m 
D) 36 m 
E) 60 m

Question 5

Which of the following five coordinate versus time graphs represents the motion of an object whose speed is increasing?

Accepted Answer

A) I 
B) II 
C) III 
D) IV 
E) V 
A) I 
B) II 
C) III 
D) IV 
E) V

Question 6

An object is thrown straight up from ground level with a speed of 50 m/s.If g = 10 m/s2 its distance above ground level 6.0 s later is:

Accepted Answer

A) 0.00 m 
B) 270 m 
C) 330 m 
D) 480 m 
E) none of these 
A) 0.00 m 
B) 270 m 
C) 330 m 
D) 480 m 
E) none of these

Question 7

You leave your house and drive to your friend's house, where you stay a while.Then you come back home.Which of the following must be true of your trip?

Accepted Answer

A) Your instantaneous velocity was never zero. 
B) Your average velocity was zero. 
C) Your acceleration was constant. 
D) Your net displacement was not zero. 
E) Your average speed was zero. 
A) Your instantaneous velocity was never zero. 
B) Your average velocity was zero. 
C) Your acceleration was constant. 
D) Your net displacement was not zero. 
E) Your average speed was zero.

Question 8

Is it possible for an object to have zero velocity and constant nonzero acceleration?

Accepted Answer

A) Yes, but only if it is not moving at all. 
B) No, if its velocity is zero its acceleration must also be zero. 
C) Yes, all objects with zero velocity have nonzero acceleration. 
D) No, if its acceleration is not zero its velocity cannot be zero. 
E) Yes, but its velocity must only be zero for an instant. 
A) Yes, but only if it is not moving at all. 
B) No, if its velocity is zero its acceleration must also be zero. 
C) Yes, all objects with zero velocity have nonzero acceleration. 
D) No, if its acceleration is not zero its velocity cannot be zero. 
E) Yes, but its velocity must only be zero for an instant.

Question 9

Each of four particles moves along an x axis.Their coordinates (in meters)as functions of time (in seconds)are given by   For which of these particles is the velocity increasing for t > 0?

Accepted Answer

A) All four 
B) Only 1 
C) Only 2 and 3 
D) Only 2, 3, and 4 
E) None of them 
A) All four 
B) Only 1 
C) Only 2 and 3 
D) Only 2, 3, and 4 
E) None of them

Question 10

Of the following situations, which one is impossible?

Accepted Answer

A) A body having velocity east and acceleration east 
B) A body having velocity east and acceleration west 
C) A body having zero velocity and non-zero acceleration 
D) A body having constant acceleration and variable velocity 
E) A body having constant velocity and variable acceleration 
A) A body having velocity east and acceleration east 
B) A body having velocity east and acceleration west 
C) A body having zero velocity and non-zero acceleration 
D) A body having constant acceleration and variable velocity 
E) A body having constant velocity and variable acceleration

Question 11

The acceleration of an object, starting from rest, is shown in the graph below.Other than at t = 0, when is the velocity of the object equal to zero?

Accepted Answer

A) During the interval from 1.0 s to 3.0 s 
B) At t = 3.5 s 
C) At t = 4.0 s 
D) At t = 5.0 s 
E) At no other time less than or equal to 5 s. 
A) During the interval from 1.0 s to 3.0 s 
B) At t = 3.5 s 
C) At t = 4.0 s 
D) At t = 5.0 s 
E) At no other time less than or equal to 5 s.

Question 12

A heavy ball falls freely, starting from rest.Between the third and fourth second of its fall it travels a distance of:

Accepted Answer

A) 4.9 m. 
B) 9.8 m. 
C) 29.4 m 
D) 34.3 m. 
E) 39.8 m. 
A) 4.9 m. 
B) 9.8 m. 
C) 29.4 m 
D) 34.3 m. 
E) 39.8 m.

Question 13

The coordinate of an object is given as a function of time by x = 4t2 - 3t3, where x is in meters and t is in seconds.Its average acceleration over the interval from t = 0 to t = 2 s is:

Accepted Answer

A) -8 m/s2 
B) 4 m/s2 
C) -10 m/s2 
D) 10 m/s2 
E) -13 m/s2 
A) -8 m/s2 
B) 4 m/s2 
C) -10 m/s2 
D) 10 m/s2 
E) -13 m/s2

Question 14

Which one of the following statements is correct for an object in free fall released from rest?

Accepted Answer

A) The average velocity during the first second of time is 4.9 m/s 
B) During each second the object falls 9.8 m 
C) The acceleration changes by 9.8 m/s every second 
D) The object falls 9.8 m during the first second of time 
E) The acceleration of the object is proportional to its weight 
A) The average velocity during the first second of time is 4.9 m/s 
B) During each second the object falls 9.8 m 
C) The acceleration changes by 9.8 m/s every second 
D) The object falls 9.8 m during the first second of time 
E) The acceleration of the object is proportional to its weight

Question 15

The diagram shows a velocity-time graph for a car moving in a straight line.At point Q the car must be:

Accepted Answer

A) moving with zero acceleration 
B) traveling downhill 
C) traveling below ground-level 
D) reducing speed 
E) traveling in the reverse direction to that at point P 
A) moving with zero acceleration 
B) traveling downhill 
C) traveling below ground-level 
D) reducing speed 
E) traveling in the reverse direction to that at point P

Question 16

The coordinate of a particle in meters is given by x(t)= 16t - 3.0t3, where the time t is in seconds.The particle is momentarily at rest at t =

Accepted Answer

A) 0.75 s 
B) 1.3 s 
C) 1.8 s 
D) 5.3 s 
E) 7.3 s 
A) 0.75 s 
B) 1.3 s 
C) 1.8 s 
D) 5.3 s 
E) 7.3 s

Question 17

A particle moves from point x1 to point x2.Its displacement is given by:

Accepted Answer

A) x2 - x1 
B) x1 - x2 
C) x1 + x2 
D) x1 
E) x2 
A) x2 - x1 
B) x1 - x2 
C) x1 + x2 
D) x1 
E) x2

Question 18

A ball rolls up a slope.At the end of three seconds its velocity is 20 cm/s; at the end of eight seconds its velocity is 0 cm/s.What is the magnitude of its average acceleration from the third to the eighth second?

Accepted Answer

A) 2.5 cm/s2 
B) 4.0 cm/s2 
C) 5.0 cm/s2 
D) 6.0 cm/s2 
E) 6.67 cm/s2 
A) 2.5 cm/s2 
B) 4.0 cm/s2 
C) 5.0 cm/s2 
D) 6.0 cm/s2 
E) 6.67 cm/s2

Question 19

Two automobiles are 150 kilometers apart and traveling toward each other.One automobile is moving at 60 km/h and the other is moving at 40 km/h.In how many hours will they meet?

Accepted Answer

A) 2.5 h 
B) 2.0 h 
C) 1.75 h 
D) 1.5 h 
E) 1.25 h 
A) 2.5 h 
B) 2.0 h 
C) 1.75 h 
D) 1.5 h 
E) 1.25 h

Question 20

A particle moves on the x axis.When its acceleration is positive and increasing:

Accepted Answer

A) its velocity must be positive 
B) its velocity must be negative 
C) it must be slowing down 
D) it must be speeding up 
E) none of the above must be true 
A) its velocity must be positive 
B) its velocity must be negative 
C) it must be slowing down 
D) it must be speeding up 
E) none of the above must be true

Exam 2: Motion Along a Straight Line

This graph shows the position of a particle as a function of time.What is its instantaneous velocity at t = 7s?

A baseball is thrown vertically into the air.The acceleration of the ball at its highest point is:

A car travels 40 kilometers at an average speed of 80 km/h and then travels 40 kilometers at an average speed of 40 km/h.The average speed of the car for this 80 km trip is:

The graph represents the straight line motion of a car.How far does the car travel between t = 2 seconds and t = 5 seconds?

Which of the following five coordinate versus time graphs represents the motion of an object whose speed is increasing?

An object is thrown straight up from ground level with a speed of 50 m/s.If g = 10 m/s2 its distance above ground level 6.0 s later is:

You leave your house and drive to your friend's house, where you stay a while.Then you come back home.Which of the following must be true of your trip?

Is it possible for an object to have zero velocity and constant nonzero acceleration?

Each of four particles moves along an x axis.Their coordinates (in meters)as functions of time (in seconds)are given by For which of these particles is the velocity increasing for t > 0?

Of the following situations, which one is impossible?

The acceleration of an object, starting from rest, is shown in the graph below.Other than at t = 0, when is the velocity of the object equal to zero?

A heavy ball falls freely, starting from rest.Between the third and fourth second of its fall it travels a distance of:

The coordinate of an object is given as a function of time by x = 4t2 - 3t3, where x is in meters and t is in seconds.Its average acceleration over the interval from t = 0 to t = 2 s is:

Which one of the following statements is correct for an object in free fall released from rest?

The diagram shows a velocity-time graph for a car moving in a straight line.At point Q the car must be:

The coordinate of a particle in meters is given by x(t)= 16t - 3.0t3, where the time t is in seconds.The particle is momentarily at rest at t =

A particle moves from point x1 to point x2.Its displacement is given by:

A ball rolls up a slope.At the end of three seconds its velocity is 20 cm/s; at the end of eight seconds its velocity is 0 cm/s.What is the magnitude of its average acceleration from the third to the eighth second?

Two automobiles are 150 kilometers apart and traveling toward each other.One automobile is moving at 60 km/h and the other is moving at 40 km/h.In how many hours will they meet?

A particle moves on the x axis.When its acceleration is positive and increasing:

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An object is thrown straight up from ground level with a speed of 50 m/s.If g = 10 m/s² its distance above ground level 6.0 s later is:

The coordinate of an object is given as a function of time by x = 4t² - 3t³, where x is in meters and t is in seconds.Its average acceleration over the interval from t = 0 to t = 2 s is:

The coordinate of a particle in meters is given by x(t)= 16t - 3.0t³, where the time t is in seconds.The particle is momentarily at rest at t =

A particle moves from point x₁ to point x₂.Its displacement is given by: