Starting at time t = 0, an object moves along a straight line with velocity in m/s given by v(t) = 98 - 2t2, where t is in seconds. When it momentarily stops its acceleration is:

A) 0 m/s2 B) -4.0 m/s2 C) -9.8 m/s2 D) -28 m/s2 E) 49 m/s2 A) 0 m/s2 B) -4.0 m/s2 C) -9.8 m/s2 D) -28 m/s2 E) 49 m/s2

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) 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

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

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 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

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:

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 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

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) -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

A car starts from rest and goes down a slope with a constant acceleration of 5 m/s2. After 5 seconds the car reaches the bottom of the hill. What is its speed at the bottom of the hill?

A) 1 m/s B) 12.5 m/s C) 25 m/s D) 50 m/s E) 160 m/s A) 1 m/s B) 12.5 m/s C) 25 m/s D) 50 m/s E) 160 m/s

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:

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

The velocity of an object is given as a function of time by v = 4t - 3t2, where v is in m/s and t is in seconds. Its average velocity over the interval from t = 0 s to t = 2 s:

A) is 0 B) is -2 m/s C) is 2 m/s D) is -4 m/s E) cannot be calculated unless the initial position is given A) is 0 B) is -2 m/s C) is 2 m/s D) is -4 m/s E) cannot be calculated unless the initial position is given

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:

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

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

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

Exam 2: Motion Along a Straight Line

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Starting at time t = 0, an object moves along a straight line with velocity in m/s given by v(t) = 98 - 2t², where t is in seconds. When it momentarily stops its acceleration is:

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Question 61

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 =

(Multiple Choice)

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Question 62

Of the following situations, which one is impossible?

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Question 63

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

(Multiple Choice)

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Question 64

Consider the following five graphs (note the axes carefully). Which of these represent(s) motion at constant speed?

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Question 65

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:

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Question 66

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?

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Question 67

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

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Question 68

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:

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Question 69

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. It stops at t =

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Question 70

A car starts from rest and goes down a slope with a constant acceleration of 5 m/s². After 5 seconds the car reaches the bottom of the hill. What is its speed at the bottom of the hill?

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Question 71

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

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Question 72

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

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Question 73

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

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Question 74

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:

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Question 75

The velocity of an object is given as a function of time by v = 4t - 3t², where v is in m/s and t is in seconds. Its average velocity over the interval from t = 0 s to t = 2 s:

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Question 76

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:

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Question 77

An object is thrown straight down with an initial speed of 4 m/s from a window which is 8 m above the ground. The time it takes the object to reach the ground is:

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Question 78

The diagram represents the straight line motion of a car. Which of the following statements is true?

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Question 79

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

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Question 80

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Exam 2: Motion Along a Straight Line

Starting at time t = 0, an object moves along a straight line with velocity in m/s given by v(t) = 98 - 2t2, where t is in seconds. When it momentarily stops its acceleration 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 =

Of the following situations, which one is impossible?

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

Consider the following five graphs (note the axes carefully). Which of these represent(s) motion at constant speed?

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:

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?

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

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. It stops at t =

A car starts from rest and goes down a slope with a constant acceleration of 5 m/s2. After 5 seconds the car reaches the bottom of the hill. What is its speed at the bottom of the hill?

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

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

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

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:

The velocity of an object is given as a function of time by v = 4t - 3t2, where v is in m/s and t is in seconds. Its average velocity over the interval from t = 0 s to t = 2 s:

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:

An object is thrown straight down with an initial speed of 4 m/s from a window which is 8 m above the ground. The time it takes the object to reach the ground is:

The diagram represents the straight line motion of a car. Which of the following statements is true?

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

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Starting at time t = 0, an object moves along a straight line with velocity in m/s given by v(t) = 98 - 2t², where t is in seconds. When it momentarily stops its acceleration 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 freely falling body has a constant acceleration of 9.8 m/s². This means that:

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:

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. It stops at t =

A car starts from rest and goes down a slope with a constant acceleration of 5 m/s². After 5 seconds the car reaches the bottom of the hill. What is its speed at the bottom of the hill?

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:

The velocity of an object is given as a function of time by v = 4t - 3t², where v is in m/s and t is in seconds. Its average velocity over the interval from t = 0 s to t = 2 s:

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:

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