Question 1

The figure represents the velocity of a particle as it travels along the x-axis. At what value (or values) of t is the instantaneous acceleration equal to zero?

Accepted Answer

A)  t = 0 
B)  t = 0.5 s and t = 2 s 
C)  t = 1 s 
A)  t = 0 
B)  t = 0.5 s and t = 2 s 
C)  t = 1 s C

Question 2

Two objects are dropped from a bridge, an interval of 1.0 s apart, and experience no appreciable air resistance. As time progresses, the DIFFERENCE in their speeds

Accepted Answer

A)  increases. 
B)  remains constant. 
C)  decreases. 
D)  increases at first, but then stays constant. 
E)  decreases at first, but then stays constant. 
A)  increases. 
B)  remains constant. 
C)  decreases. 
D)  increases at first, but then stays constant. 
E)  decreases at first, but then stays constant. B

Question 3

An object is moving with constant non-zero acceleration along the +x-axis. A graph of the velocity in the x direction as a function of time for this object is

Accepted Answer

A)  a horizontal straight line. 
B)  a vertical straight line. 
C)  a straight line making an angle with the time axis. 
D)  a parabolic curve. 
A)  a horizontal straight line. 
B)  a vertical straight line. 
C)  a straight line making an angle with the time axis. 
D)  a parabolic curve. D

Question 4

An object is moving in a straight line along the x-axis. A plot of its velocity in the x direction as a function of time is shown in the figure. Which graph represents its acceleration in the x direction as a function of time?

Accepted Answer

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

Question 5

A toy rocket is launched vertically from ground level (y = 0.00 m), at time t = 0.00 s. The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket has risen to 72 m and acquired a velocity of 30 m/s. The rocket continues to rise in unpowered flight, reaches maximum height, and falls back to the ground with negligible air resistance. The speed of the rocket upon impact on the ground is closest to

Accepted Answer

A)  48 m/s 
B)  44 m/s 
C)  39 m/s 
D)  54 m/s 
E)  59 m/s 
A)  48 m/s 
B)  44 m/s 
C)  39 m/s 
D)  54 m/s 
E)  59 m/s

Question 6

The acceleration of an object as a function of time is given by a(t) = (3.00 m/s3)t, where t is in seconds. If the object has a velocity 1.00 m/s at time t = 1.00 s, what is the displacement of the object between time t = 2.00 s and time t = 4.00 s?

Accepted Answer

A)  33.0 m 
B)  30.0 m 
C)  36.0 m 
D)  27.0 m 
A)  33.0 m 
B)  30.0 m 
C)  36.0 m 
D)  27.0 m

Question 7

A airplane that is flying level needs to accelerate from a speed of 2.00 × 102 m/s to a speed of
2.40 × 102 m/s while it flies a distance of 1.20 km. What must be the acceleration of the plane?

Accepted Answer

A)  4.44 m/s2 
B)  2.45 m/s2 
C)  7.33 m/s2 
D)  5.78 m/s2 
E)  1.34 m/s2 
A)  4.44 m/s2 
B)  2.45 m/s2 
C)  7.33 m/s2 
D)  5.78 m/s2 
E)  1.34 m/s2

Question 8

A car starts from rest and accelerates with a constant acceleration of 1.00 m/s2 for 3.00 s. The car continues for 5.00 s at constant velocity. How far has the car traveled from its starting point?

Accepted Answer

A)  24.0 m 
B)  9.00 m 
C)  19.5 m 
D)  4.50 m 
E)  15.0 m 
A)  24.0 m 
B)  9.00 m 
C)  19.5 m 
D)  4.50 m 
E)  15.0 m

Question 9

A ball is projected upward at time t = 0.00 s, from a point on a roof 70 m above the ground and experiences negligible air resistance. The ball rises, then falls and strikes the ground. The initial velocity of the ball is 28.5 m/s. Consider all quantities as positive in the upward direction. The velocity of the ball when it is 39 m above the ground is closest to

Accepted Answer

A)  -38 m/s. 
B)  -30 m/s. 
C)  -23 m/s. 
D)  -15 m/s. 
E)  -45 m/s. 
A)  -38 m/s. 
B)  -30 m/s. 
C)  -23 m/s. 
D)  -15 m/s. 
E)  -45 m/s.

Question 10

A car is 200 m from a stop sign and traveling toward the sign at 40.0 m/s. At this time, the driver suddenly realizes that she must stop the car. If it takes 0.200 s for the driver to apply the brakes, what must be the magnitude of the constant acceleration of the car after the brakes are applied so that the car will come to rest at the stop sign?

Accepted Answer

A)  2.89 m/s2 
B)  3.89 m/s2 
C)  4.17 m/s2 
D)  3.42 m/s2 
E)  2.08 m/s2 
A)  2.89 m/s2 
B)  3.89 m/s2 
C)  4.17 m/s2 
D)  3.42 m/s2 
E)  2.08 m/s2

Question 11

Suppose that an object is moving with constant nonzero acceleration. Which of the following is an accurate statement concerning its motion?

Accepted Answer

A)  In equal times its speed changes by equal amounts. 
B)  In equal times its velocity changes by equal amounts. 
C)  In equal times it moves equal distances. 
D)  A graph of its position as a function of time has a constant slope. 
E)  A graph of its velocity as a function of time is a horizontal line. 
A)  In equal times its speed changes by equal amounts. 
B)  In equal times its velocity changes by equal amounts. 
C)  In equal times it moves equal distances. 
D)  A graph of its position as a function of time has a constant slope. 
E)  A graph of its velocity as a function of time is a horizontal line.

Question 12

The motions of a car and a truck along a straight road are represented by the velocity-time graphs in the figure. The two vehicles are initially alongside each other at time t = 0. At time T, what is true about these two vehicles since time t = 0?

Accepted Answer

A)  The truck will have traveled further than the car. 
B)  The car will have traveled further than the truck. 
C)  The truck and the car will have traveled the same distance. 
D)  The car will be traveling faster than the truck. 
A)  The truck will have traveled further than the car. 
B)  The car will have traveled further than the truck. 
C)  The truck and the car will have traveled the same distance. 
D)  The car will be traveling faster than the truck.

Question 13

A racing car accelerates uniformly from rest along a straight track. This track has markers spaced at equal distances along it from the start, as shown in the figure. The car reaches a speed of 140 km/h as it passes marker 2. Where on the track was the car when it was traveling at 70 km/h?

Accepted Answer

A)  Before marker 1 
B)  At marker 1 
C)  Between marker 1 and marker 2 
A)  Before marker 1 
B)  At marker 1 
C)  Between marker 1 and marker 2

Question 14

A speeding car is traveling at a constant 30.0 m/s when it passes a stationary police car. If the police car delays for 1.00 s before starting, what must be the magnitude of the constant acceleration of the police car to catch the speeding car after the police car travels a distance of 300 m?

Accepted Answer

A)  6.00 m/s2 
B)  3.00 m/s2 
C)  7.41 m/s2 
D)  1.45 m/s2 
E)  3.70 m/s2 
A)  6.00 m/s2 
B)  3.00 m/s2 
C)  7.41 m/s2 
D)  1.45 m/s2 
E)  3.70 m/s2

Question 15

The position of an object is given by   where

And x and t are in SI units. What is the instantaneous acceleration of the object when

Accepted Answer

A)  -13 m/s2 
B)  2.9 m/s2 
C)  4.6 m/s2 
D)  13 m/s2 
A)  -13 m/s2 
B)  2.9 m/s2 
C)  4.6 m/s2 
D)  13 m/s2

Question 16

The graph in the figure shows the position of an object as a function of time. The letters H-L represent particular moments of time. At which moments shown (H, I, etc.) is the speed of the object
(a) the greatest?
(b) the smallest?

Accepted Answer

The answer of The graph in the figure shows the...

Question 17

The figure shows the position of an object as a function of time, with all numbers accurate to two significant figures. Between time t = 0.0 s and time t = 9.0 s,
(a) what is the average speed of the object?
(b) what is the average velocity of the object?

Accepted Answer

(a) 0.56 m

Question 18

If an object is accelerating toward a point, then it must be getting closer and closer to that point.

Accepted Answer

A) True 
 B)False

Question 19

If the acceleration of an object is negative, the object must be slowing down.

Accepted Answer

A) True 
 B)False

Question 20

The figure shows the position of an object (moving along a straight line) as a function of time. Assume two significant figures in each number. Which of the following statements about this object is true over the interval shown?

Accepted Answer

A)  The object is accelerating to the left. 
B)  The object is accelerating to the right. 
C)  The acceleration of the object is in the same direction as its velocity. 
D)  The average speed of the object is 1.0 m/s. 
A)  The object is accelerating to the left. 
B)  The object is accelerating to the right. 
C)  The acceleration of the object is in the same direction as its velocity. 
D)  The average speed of the object is 1.0 m/s.

Exam 2: Kinematics in One Dimension

The figure represents the velocity of a particle as it travels along the x-axis. At what value (or values) of t is the instantaneous acceleration equal to zero?

Two objects are dropped from a bridge, an interval of 1.0 s apart, and experience no appreciable air resistance. As time progresses, the DIFFERENCE in their speeds

An object is moving with constant non-zero acceleration along the +x-axis. A graph of the velocity in the x direction as a function of time for this object is

An object is moving in a straight line along the x-axis. A plot of its velocity in the x direction as a function of time is shown in the figure. Which graph represents its acceleration in the x direction as a function of time?

The acceleration of an object as a function of time is given by a(t) = (3.00 m/s3)t, where t is in seconds. If the object has a velocity 1.00 m/s at time t = 1.00 s, what is the displacement of the object between time t = 2.00 s and time t = 4.00 s?

A airplane that is flying level needs to accelerate from a speed of 2.00 × 102 m/s to a speed of 2.40 × 102 m/s while it flies a distance of 1.20 km. What must be the acceleration of the plane?

A car starts from rest and accelerates with a constant acceleration of 1.00 m/s2 for 3.00 s. The car continues for 5.00 s at constant velocity. How far has the car traveled from its starting point?

Suppose that an object is moving with constant nonzero acceleration. Which of the following is an accurate statement concerning its motion?

The motions of a car and a truck along a straight road are represented by the velocity-time graphs in the figure. The two vehicles are initially alongside each other at time t = 0. At time T, what is true about these two vehicles since time t = 0?

A racing car accelerates uniformly from rest along a straight track. This track has markers spaced at equal distances along it from the start, as shown in the figure. The car reaches a speed of 140 km/h as it passes marker 2. Where on the track was the car when it was traveling at 70 km/h?

A speeding car is traveling at a constant 30.0 m/s when it passes a stationary police car. If the police car delays for 1.00 s before starting, what must be the magnitude of the constant acceleration of the police car to catch the speeding car after the police car travels a distance of 300 m?

The position of an object is given by where And x and t are in SI units. What is the instantaneous acceleration of the object when

The graph in the figure shows the position of an object as a function of time. The letters H-L represent particular moments of time. At which moments shown (H, I, etc.) is the speed of the object (a) the greatest? (b) the smallest?

The figure shows the position of an object as a function of time, with all numbers accurate to two significant figures. Between time t = 0.0 s and time t = 9.0 s, (a) what is the average speed of the object? (b) what is the average velocity of the object?

If an object is accelerating toward a point, then it must be getting closer and closer to that point.

If the acceleration of an object is negative, the object must be slowing down.

The figure shows the position of an object (moving along a straight line) as a function of time. Assume two significant figures in each number. Which of the following statements about this object is true over the interval shown?

Concepts of Motion

Vectors and Coordinate Systems

Kinematics in Two Dimensions

Force and Motion

Dynamics I: Motion Along a Line

Newtons Third Law

Dynamics Ii: Motion in a Plane

Impulse and Momentum

Energy

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Rotation of a Rigid Body

Newtons Theory of Gravity

Oscillations

Fluids and Elasticity

A Macroscopic Description of Matter

Work, Heat, and the First Law of Thermodynamics

The Micromacro Connection

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Traveling Waves

Superpositions

Wave Optics

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Optical Instruments

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The Electric Field

Gausss Law

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Potential and Field

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Fundamentals of Circuits

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Electromagnetic Fields and Waves

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Relativity

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The acceleration of an object as a function of time is given by a(t) = (3.00 m/s³)t, where t is in seconds. If the object has a velocity 1.00 m/s at time t = 1.00 s, what is the displacement of the object between time t = 2.00 s and time t = 4.00 s?

A airplane that is flying level needs to accelerate from a speed of 2.00 × 10² m/s to a speed of 2.40 × 10² m/s while it flies a distance of 1.20 km. What must be the acceleration of the plane?

A car starts from rest and accelerates with a constant acceleration of 1.00 m/s² for 3.00 s. The car continues for 5.00 s at constant velocity. How far has the car traveled from its starting point?