Question 1

The area under a velocity-time graph represents:

Accepted Answer

A) acceleration 
B) change in acceleration 
C) speed 
D) change in velocity 
E) displacement 
A) acceleration 
B) change in acceleration 
C) speed 
D) change in velocity 
E) displacement

Question 2

A ball is thrown upwards.Its acceleration is:

Accepted Answer

A) downward during both ascent and descent 
B) downward during ascent and upward during descent 
C) upward during ascent and downward during descent 
D) upward during both ascent and descent 
E) downward at all times except at the very top, when it is zero 
A) downward during both ascent and descent 
B) downward during ascent and upward during descent 
C) upward during ascent and downward during descent 
D) upward during both ascent and descent 
E) downward at all times except at the very top, when it is zero

Question 3

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 4

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 5

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 6

The coordinate-time graph of an object is a straight line with a positive slope.The object has:

Accepted Answer

A) constant displacement 
B) steadily increasing acceleration 
C) steadily decreasing acceleration 
D) constant velocity 
E) steadily increasing velocity 
A) constant displacement 
B) steadily increasing acceleration 
C) steadily decreasing acceleration 
D) constant velocity 
E) steadily increasing velocity

Question 7

An elevator is moving upward with constant acceleration.The dashed curve shows the position y of the ceiling of the elevator as a function of the time t.At the instant indicated by the dot, a bolt breaks loose and drops from the ceiling.Which curve best represents the position of the bolt as a function of time?

Accepted Answer

A) A 
B) B 
C) C 
D) D 
E) E 
A) A 
B) B 
C) C 
D) D 
E) E

Question 8

A particle moves along the x axis according to the equation x = 6t2 where x is in meters and t is in seconds.Therefore:

Accepted Answer

A) the acceleration of the particle is 6 m/s2 
B) t cannot be negative 
C) the particle follows a parabolic path 
D) each second the velocity of the particle changes by 9.8 m/s 
E) none of the above 
A) the acceleration of the particle is 6 m/s2 
B) t cannot be negative 
C) the particle follows a parabolic path 
D) each second the velocity of the particle changes by 9.8 m/s 
E) none of the above

Question 9

An object is thrown vertically upward with a certain initial velocity in a world where the acceleration due to gravity is 19.6 m/s2.The height to which it rises is ____ that to which the object would rise if thrown upward with the same initial velocity on the Earth.Neglect air resistance.

Accepted Answer

A) one fourth 
B) half 
C) twice 
D) four times 
E) cannot be calculated from the given data 
A) one fourth 
B) half 
C) twice 
D) four times 
E) cannot be calculated from the given data

Question 10

Throughout a time interval, while the speed of a particle increases as it moves along the x axis, its velocity and acceleration could be:

Accepted Answer

A) positive and negative, respectively 
B) negative and positive, respectively 
C) negative and negative, respectively 
D) negative and zero, respectively 
E) positive and zero, respectively 
A) positive and negative, respectively 
B) negative and positive, respectively 
C) negative and negative, respectively 
D) negative and zero, respectively 
E) positive and zero, respectively

Question 11

Which of the following is NOT true of an object in free fall in the absence of air resistance?

Accepted Answer

A) Its acceleration is constant. 
B) If its initial velocity is upwards, it will reach a maximum height and then begin to fall. 
C) If its initial velocity is zero, its position below its starting point can be calculated knowing only how long ago it began falling. 
D) Its velocity will always be zero at some point along its path. 
E) Its velocity changes by the same amount every second. 
A) Its acceleration is constant. 
B) If its initial velocity is upwards, it will reach a maximum height and then begin to fall. 
C) If its initial velocity is zero, its position below its starting point can be calculated knowing only how long ago it began falling. 
D) Its velocity will always be zero at some point along its path. 
E) Its velocity changes by the same amount every second.

Question 12

A stone is released from a balloon that is descending at a constant speed of 10 m/s.Neglecting air resistance, after 20 s the speed of the stone is:

Accepted Answer

A) 2160 m/s 
B) 1760 m/s 
C) 206 m/s 
D) 196 m/s 
E) 186 m/s 
A) 2160 m/s 
B) 1760 m/s 
C) 206 m/s 
D) 196 m/s 
E) 186 m/s

Question 13

The coordinate of an object is given as a function of time by x = 7t - 3t2, where x is in meters and t is in seconds.Its velocity at t = 3s is:

Accepted Answer

A) -6 m/s 
B) -11 m/s 
C) -21 m/s 
D) 9 m/s 
E) 18 m/s 
A) -6 m/s 
B) -11 m/s 
C) -21 m/s 
D) 9 m/s 
E) 18 m/s

Question 14

A stone is thrown vertically upward with an initial speed of 19.5 m/s.It will rise to a maximum height of:

Accepted Answer

A) 4.9 m 
B) 9.8 m 
C) 19.4 m 
D) 38.8 m 
E) none of these 
A) 4.9 m 
B) 9.8 m 
C) 19.4 m 
D) 38.8 m 
E) none of these

Question 15

An object is shot vertically upward.While it is rising:

Accepted Answer

A) its velocity and acceleration are both upward 
B) its velocity is upward and its acceleration is downward 
C) its velocity and acceleration are both downward 
D) its velocity is downward and its acceleration is upward 
E) its velocity and acceleration are both decreasing 
A) its velocity and acceleration are both upward 
B) its velocity is upward and its acceleration is downward 
C) its velocity and acceleration are both downward 
D) its velocity is downward and its acceleration is upward 
E) its velocity and acceleration are both decreasing

Question 16

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 17

A car accelerates from rest on a straight road.A short time later, the car decelerates to a stop and then returns to its original position in a similar manner, by speeding up and then slowing to a stop.Which of the following five coordinate versus time graphs best describes the motion?

Accepted Answer

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

Question 18

When can you treat a moving object as if it were a point-like particle?

Accepted Answer

A) Only if it really is a point-like particle. 
B) You can always treat a moving object as if it were a point-like particle. 
C) Only if the object is moving with constant acceleration. 
D) Only if all parts of the object are moving in the same direction and at the same rate. 
E) This question has no physical meaning. 
A) Only if it really is a point-like particle. 
B) You can always treat a moving object as if it were a point-like particle. 
C) Only if the object is moving with constant acceleration. 
D) Only if all parts of the object are moving in the same direction and at the same rate. 
E) This question has no physical meaning.

Question 19

Displacement can be obtained from:

Accepted Answer

A) The slope of an acceleration-time graph 
B) the slope of a velocity-time graph 
C) the area under an acceleration-time graph 
D) the area under a velocity-time graph 
E) the slope of an acceleration-time graph 
A) The slope of an acceleration-time graph 
B) the slope of a velocity-time graph 
C) the area under an acceleration-time graph 
D) the area under a velocity-time graph 
E) the slope of an acceleration-time graph

Question 20

At time t = 0 a car has a velocity of 16 m/s.It slows down with an acceleration given by a = -0.50t, in m/s2 for t in seconds.By the time it stops it has traveled:

Accepted Answer

A) 15 m 
B) 31 m 
C) 62 m 
D) 85 m 
E) 100 m 
A) 15 m 
B) 31 m 
C) 62 m 
D) 85 m 
E) 100 m

Exam 2: Motion Along a Straight Line

The area under a velocity-time graph represents:

A ball is thrown upwards.Its acceleration is:

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:

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

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

The coordinate-time graph of an object is a straight line with a positive slope.The object has:

A particle moves along the x axis according to the equation x = 6t2 where x is in meters and t is in seconds.Therefore:

An object is thrown vertically upward with a certain initial velocity in a world where the acceleration due to gravity is 19.6 m/s2.The height to which it rises is ____ that to which the object would rise if thrown upward with the same initial velocity on the Earth.Neglect air resistance.

Throughout a time interval, while the speed of a particle increases as it moves along the x axis, its velocity and acceleration could be:

Which of the following is NOT true of an object in free fall in the absence of air resistance?

A stone is released from a balloon that is descending at a constant speed of 10 m/s.Neglecting air resistance, after 20 s the speed of the stone is:

The coordinate of an object is given as a function of time by x = 7t - 3t2, where x is in meters and t is in seconds.Its velocity at t = 3s is:

A stone is thrown vertically upward with an initial speed of 19.5 m/s.It will rise to a maximum height of:

An object is shot vertically upward.While it is rising:

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

A car accelerates from rest on a straight road.A short time later, the car decelerates to a stop and then returns to its original position in a similar manner, by speeding up and then slowing to a stop.Which of the following five coordinate versus time graphs best describes the motion?

When can you treat a moving object as if it were a point-like particle?

Displacement can be obtained from:

At time t = 0 a car has a velocity of 16 m/s.It slows down with an acceleration given by a = -0.50t, in m/s2 for t in seconds.By the time it stops it has traveled:

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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:

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

A particle moves along the x axis according to the equation x = 6t² where x is in meters and t is in seconds.Therefore:

An object is thrown vertically upward with a certain initial velocity in a world where the acceleration due to gravity is 19.6 m/s².The height to which it rises is ____ that to which the object would rise if thrown upward with the same initial velocity on the Earth.Neglect air resistance.

The coordinate of an object is given as a function of time by x = 7t - 3t², where x is in meters and t is in seconds.Its velocity at t = 3s is:

At time t = 0 a car has a velocity of 16 m/s.It slows down with an acceleration given by a = -0.50t, in m/s² for t in seconds.By the time it stops it has traveled: