Question 1

The position y of a particle moving along the y axis depends on the time t according to the equation y = at - bt2.The dimensions of the quantities a and b are respectively:

Accepted Answer

A) L2/T, L3/T2 
B) L/T2, L2/T 
C) L/T, L/T2 
D) L3/T, T2/L 
E) none of these

Question 2

At a location where g = 9.80 m/s2, an object is thrown vertically down with an initial speed of 1.00 m/s.After 5.00 s the object will have traveled:

Accepted Answer

A) 125 m 
B) 128 m 
C) 245 m 
D) 250 m 
E) 255 m

Question 3

An object is thrown vertically into the air.Which of the following five graphs represents the velocity (v)of the object as a function of the time (t)? The positive direction is taken to be upward.

Accepted Answer

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

Question 4

Over a short interval, starting at time t = 0, the coordinate of an automobile in meters is given by x(t)= 27t - 4.0t3, where t is in seconds.The magnitudes of the initial (at t = 0)velocity and acceleration of the auto respectively are:

Accepted Answer

A) 0 m/s; 12 m/s2 
B) 0 m/s; 24 m/s2 
C) 27 m/s; 0 m/s2 
D) 27 m/s; 12 m/s2 
E) 27 m/s; 24 m/s2

Question 5

An object starts from rest at the origin and moves along the x axis with a constant acceleration of 4 m/s2.Its average velocity as it goes from x = 2 m to x = 8 m is:

Accepted Answer

A) 1 m/s 
B) 2 m/s 
C) 3 m/s 
D) 5 m/s 
E) 6 m/s

Question 6

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 average velocity over the interval from t = 0 to t = 2 s is:

Accepted Answer

A) 5 m/s 
B) -5 m/s 
C) 11 m/s 
D) -11 m/s 
E) 1 m/s

Question 7

A racing car traveling with constant acceleration increases its speed from 10 m/s to 30 m/s over a distance of 60 m? How long does this take?

Accepted Answer

A) 2.0 s 
B) 3.0 s 
C) 5.0 s 
D) 6.0 s 
E) The time cannot be calculated since the speed is not constant

Question 8

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 1.0 second later is:

Accepted Answer

A) 40 m 
B) 45 m 
C) 50 m 
D) 55 m 
E) 60 m

Question 9

A freely falling body has a constant acceleration of 9.8 m/s2.This means that:

Accepted Answer

A) the body falls 9.8 m during each second 
B) the body falls 9.8 m during the first second 
C) the speed of the body increases by 9.8 m/s during each second 
D) the acceleration of the body increases by 9.8 m/s2 during each second 
E) the acceleration of the body decreases by 9.8 m/s2 during each second

Question 10

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

Question 11

An object starts from rest and has a constant acceleration of 3 m/s2.The position versus time graph for this object has a slope:

Accepted Answer

A) that increases with time 
B) that is constant 
C) that decreases with time 
D) of 3 m/s 
E) of 3 m/s2

Question 12

Neglecting the effect of air resistance, a stone dropped off a 175-m high building lands on the ground in:

Accepted Answer

A) 3 s 
B) 4 s 
C) 6 s 
D) 18 s 
E) 36 s

Question 13

A stone is released from rest from the edge of a building roof 190 m above the ground.Neglecting air resistance, the speed of the stone, just before striking the ground, is:

Accepted Answer

A) 43 m/s 
B) 61 m/s 
C) 120 m/s 
D) 190 m/s 
E) 1400 m/s

Question 14

A drag racing car starts from rest at t = 0 and moves along a straight line with velocity given by v = bt2, where b is a constant.The expression for the distance traveled by this car from its position at t = 0 is:

Accepted Answer

A) bt3 
B) bt3/3 
C) 4bt2 
D) 3bt2 
E) bt3/2

Question 15

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.At the end of 4.0 s it has traveled:

Accepted Answer

A) 0 
B) 12 m 
C) 14 m 
D) 25 m 
E) 59 m

Question 16

An object dropped from a window of a tall building hits the ground in 12.0 s.If its acceleration is 9.80 m/s2, the height of the window above the ground is (you may neglect air resistance):

Accepted Answer

A) 29.4 m 
B) 58.8 m 
C) 118 m 
D) 353 m 
E) 706 m

Question 17

All falling objects experience some air resistance, the effect of which is to decrease acceleration.When the falling object's acceleration reaches zero, the acceleration stops changing.Therefore, if you drop an object and it falls far enough for this to happen,

Accepted Answer

A) its speed continues to increase all the way down. 
B) its speed reaches a maximum value and then decreases. 
C) its speed reaches a maximum value and then doesn't change. 
D) its speed reaches a maximum value, decreases, and then increases again. 
E) Any of these things could happen.

Question 18

An object is thrown vertically upward at 35 m/s.Taking g = 10 m/s2, the velocity of the object 5 seconds later is:

Accepted Answer

A) 7.0 m/s up 
B) 15 m/s down 
C) 15 m/s up 
D) 85 m/s down 
E) 85 m/s up

Question 19

This graph shows the velocity of a particle as a function of time.During what interval is its displacement negative?

Accepted Answer

A) 0 - 2 s 
B) 2s - 5 s 
C) 5 s - 9 s 
D) 0 - 9 s 
E) Its displacement is not negative between 0 and 9 s.

Question 20

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

Exam 2: Motion Along a Straight Line

The position y of a particle moving along the y axis depends on the time t according to the equation y = at - bt².The dimensions of the quantities a and b are respectively:

At a location where g = 9.80 m/s², an object is thrown vertically down with an initial speed of 1.00 m/s.After 5.00 s the object will have traveled:

An object is thrown vertically into the air.Which of the following five graphs represents the velocity (v) of the object as a function of the time (t) ? The positive direction is taken to be upward.

Over a short interval, starting at time t = 0, the coordinate of an automobile in meters is given by x(t) = 27t - 4.0t³, where t is in seconds.The magnitudes of the initial (at t = 0) velocity and acceleration of the auto respectively are:

An object starts from rest at the origin and moves along the x axis with a constant acceleration of 4 m/s².Its average velocity as it goes from x = 2 m to x = 8 m 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 average velocity over the interval from t = 0 to t = 2 s is:

A racing car traveling with constant acceleration increases its speed from 10 m/s to 30 m/s over a distance of 60 m? How long does this take?

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 1.0 second later is:

A freely falling body has a constant acceleration of 9.8 m/s².This means that:

An object starts from rest and has a constant acceleration of 3 m/s².The position versus time graph for this object has a slope:

Neglecting the effect of air resistance, a stone dropped off a 175-m high building lands on the ground in:

A stone is released from rest from the edge of a building roof 190 m above the ground.Neglecting air resistance, the speed of the stone, just before striking the ground, is:

A drag racing car starts from rest at t = 0 and moves along a straight line with velocity given by v = bt², where b is a constant.The expression for the distance traveled by this car from its position at t = 0 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.At the end of 4.0 s it has traveled:

An object dropped from a window of a tall building hits the ground in 12.0 s.If its acceleration is 9.80 m/s², the height of the window above the ground is (you may neglect air resistance) :

All falling objects experience some air resistance, the effect of which is to decrease acceleration.When the falling object's acceleration reaches zero, the acceleration stops changing.Therefore, if you drop an object and it falls far enough for this to happen,

An object is thrown vertically upward at 35 m/s.Taking g = 10 m/s², the velocity of the object 5 seconds later is:

This graph shows the velocity of a particle as a function of time.During what interval is its displacement negative?

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:

Exam 2: Motion Along a Straight Line

The position y of a particle moving along the y axis depends on the time t according to the equation y = at - bt2.The dimensions of the quantities a and b are respectively:

At a location where g = 9.80 m/s2, an object is thrown vertically down with an initial speed of 1.00 m/s.After 5.00 s the object will have traveled:

An object is thrown vertically into the air.Which of the following five graphs represents the velocity (v) of the object as a function of the time (t) ? The positive direction is taken to be upward.

Over a short interval, starting at time t = 0, the coordinate of an automobile in meters is given by x(t) = 27t - 4.0t3, where t is in seconds.The magnitudes of the initial (at t = 0) velocity and acceleration of the auto respectively are:

An object starts from rest at the origin and moves along the x axis with a constant acceleration of 4 m/s2.Its average velocity as it goes from x = 2 m to x = 8 m 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 average velocity over the interval from t = 0 to t = 2 s is:

A racing car traveling with constant acceleration increases its speed from 10 m/s to 30 m/s over a distance of 60 m? How long does this take?

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 1.0 second later is:

A freely falling body has a constant acceleration of 9.8 m/s2.This means that:

An object starts from rest and has a constant acceleration of 3 m/s2.The position versus time graph for this object has a slope:

Neglecting the effect of air resistance, a stone dropped off a 175-m high building lands on the ground in:

A stone is released from rest from the edge of a building roof 190 m above the ground.Neglecting air resistance, the speed of the stone, just before striking the ground, is:

A drag racing car starts from rest at t = 0 and moves along a straight line with velocity given by v = bt2, where b is a constant.The expression for the distance traveled by this car from its position at t = 0 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.At the end of 4.0 s it has traveled:

An object dropped from a window of a tall building hits the ground in 12.0 s.If its acceleration is 9.80 m/s2, the height of the window above the ground is (you may neglect air resistance) :

All falling objects experience some air resistance, the effect of which is to decrease acceleration.When the falling object's acceleration reaches zero, the acceleration stops changing.Therefore, if you drop an object and it falls far enough for this to happen,

An object is thrown vertically upward at 35 m/s.Taking g = 10 m/s2, the velocity of the object 5 seconds later is:

This graph shows the velocity of a particle as a function of time.During what interval is its displacement negative?

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:

The position y of a particle moving along the y axis depends on the time t according to the equation y = at - bt².The dimensions of the quantities a and b are respectively:

At a location where g = 9.80 m/s², an object is thrown vertically down with an initial speed of 1.00 m/s.After 5.00 s the object will have traveled:

Over a short interval, starting at time t = 0, the coordinate of an automobile in meters is given by x(t) = 27t - 4.0t³, where t is in seconds.The magnitudes of the initial (at t = 0) velocity and acceleration of the auto respectively are:

An object starts from rest at the origin and moves along the x axis with a constant acceleration of 4 m/s².Its average velocity as it goes from x = 2 m to x = 8 m 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 average velocity over the interval from t = 0 to t = 2 s 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 1.0 second later is:

A freely falling body has a constant acceleration of 9.8 m/s².This means that:

An object starts from rest and has a constant acceleration of 3 m/s².The position versus time graph for this object has a slope:

A drag racing car starts from rest at t = 0 and moves along a straight line with velocity given by v = bt², where b is a constant.The expression for the distance traveled by this car from its position at t = 0 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.At the end of 4.0 s it has traveled:

An object dropped from a window of a tall building hits the ground in 12.0 s.If its acceleration is 9.80 m/s², the height of the window above the ground is (you may neglect air resistance) :

An object is thrown vertically upward at 35 m/s.Taking g = 10 m/s², the velocity of the object 5 seconds later 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: