Question 1

Which statement is correct about the relationship between the instantaneous speed and the magnitude of the instantaneous velocity?
A)The average speed can be less than, greater than or equal to the magnitude of the average velocity.
B)The instantaneous speed is always equal to the magnitude of the instantaneous velocity.
C)The average speed is always less than or equal to the magnitude of the average velocity.
D)The instantaneous speed is always greater than or equal to the magnitude of the instantaneous velocity.
E)The average speed is always one-half the magnitude of the average velocity.

Accepted Answer

The instantaneous speed is the magnitude of the instantaneous velocity, and they are always equal in magnitude. However, they can have different directions, as velocity is a vector quantity with both magnitude and direction. Therefore, choice B is the correct statement.

Question 2

If the position versus time graph of an object is a horizontal line, the object is
A)moving with constant non-zero speed.
B)moving with constant non-zero acceleration.
C)at rest.
D)moving with infinite speed.
E)none of the above

Accepted Answer

If the position versus time graph of an object is a horizontal line, it means the position of the object is not changing with time. Hence, the object is at rest.

Question 3

When the velocity and acceleration of an object have the same sign, the speed of the object increases.

Accepted Answer

When velocity and acceleration have the same sign (both positive or both negative), the object's speed increases. When they have opposite signs, the speed decreases.

Question 4

Suppose that an object is moving with a constant velocity. Make a statement concerning its acceleration.
A)The acceleration must be constantly increasing.
B)The acceleration must be constantly decreasing.
C)The acceleration must be a constant non-zero value.
D)The acceleration must be equal to zero.
E)A statement cannot be made without additional information.

Accepted Answer

If an object is moving with a constant velocity, that means it is not changing its speed or direction. Therefore, its acceleration must be equal to zero, as acceleration is defined as a change in velocity over time.

Question 5

Suppose that an object is moving with constant acceleration. Which of the following is an accurate statement concerning its motion?
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)The object is not moving; it is at rest.
E)A statement cannot be made without additional information.

Accepted Answer

The answer of Suppose that an object is moving with...

Question 6

Suppose that an object travels from one point in space to another. Make a comparison between the displacement and the distance traveled.
A)The displacement is either greater than or equal to the distance traveled.
B)The displacement is always equal to the distance traveled.
C)The displacement is either less than or equal to the distance traveled.
D)The displacement can be either greater than, smaller than, or equal to the distance traveled.
E)If the displacement is equal to zero, then the distance traveled will also equal zero.

Accepted Answer

The displacement is the straight line distance between the starting and ending points of the object's journey. This may be shorter than the actual distance traveled by the object if it takes a curved or meandering path. Therefore, the displacement can be equal to or less than the distance traveled, but it cannot be greater than the distance traveled.

Question 7

Which statement below about the distance between the starting and ending positions and the displacement between the starting and ending positions is correct?
A)The distance between the starting and ending positions is twice the magnitude of the displacement between the starting and ending positions.
B)The distance between the starting and ending positions is equal to the magnitude of the displacement between the starting and ending positions.
C)The distance between the starting and ending positions is the negative of the magnitude of the displacement between the starting and ending positions.
D)The distance between the starting and ending positions is greater than the magnitude of the displacement between the starting and ending positions.
E)The distance between the starting and ending positions is less than the magnitude of the displacement between the starting and ending positions.

Accepted Answer

The answer of Which statement below about the distance between...

Question 8

The slope of a tangent line at a given time value on a position versus time graph gives
A)displacement.
B)instantaneous velocity.
C)average velocity.
D)instantaneous acceleration.
E)average acceleration

Accepted Answer

The slope of the tangent line at a given time value on a position versus time graph gives the instantaneous velocity at that time value.

Question 9

If the position versus time graph of an object is a vertical line, the object is
A)moving with constant non-zero speed.
B)moving with constant non-zero acceleration.
C)at rest.
D)moving with infinite speed.
E)none of the above

Accepted Answer

The answer of If the position versus time graph of...

Question 10

When is the average velocity of an object equal to the instantaneous velocity?
A)always
B)never
C)only when the velocity is constant
D)only when the velocity is increasing at a constant rate
E)only when the velocity is decreasing at a constant rate

Accepted Answer

When the velocity of an object is constant, the average velocity over any time interval is equal to the instantaneous velocity at any point during that interval. However, if the velocity is changing, then the average velocity will depend on the specific time interval being considered and will not be equal to the instantaneous velocity at any particular moment.

Question 11

Car A is traveling at twice the speed of car B. They both hit the brakes at the same time and undergo identical decelerations. How does the distance required for car A to stop compare with that for car B?

Accepted Answer

The answer of Car A is traveling at twice the...

Question 12

The average velocity of a car traveling with a constant acceleration during a certain time interval is equal to the mean of the velocities at the beginning and end of that time interval.

Accepted Answer

This statement is known as the "Average Velocity Theorem" and is true for any object that moves with a constant acceleration during a certain time interval.

Question 13

Which statement is correct about the relationship between the average speed and the magnitude of the average velocity for any motion?
A)The average speed is always one-half the magnitude of the average velocity.
B)The average speed is always greater than or equal to the magnitude of the average velocity.
C)The average speed can be less than, greater than or equal to the magnitude of the average velocity.
D)The average speed is always less than or equal to the magnitude of the average velocity.
E)The average speed is always equal to the magnitude of the average velocity.

Accepted Answer

The answer of Which statement is correct about the relationship...

Question 14

FIGURE 2-1 
-Fig. 2-1 shows the position of an object as a function of time. During which time interval is the object at rest between 0.0 s and 9.0 s?
A)The object is at rest between 6.0 s and 9.0 s.
B)The object is always at rest except at the instants t = 3.0 s and t = 6.0 s.
C)The object is at rest between 0.0 s and 3.0 s.
D)The object is at rest between 3.0 s and 6.0 s.
E)The object is never at rest.

Accepted Answer

The answer of FIGURE 2-1 
-Fig. 2-1 shows the position...

Question 15

The slope of a line connecting two points on a position versus time graph gives
A)displacement.
B)instantaneous velocity.
C)average velocity.
D)instantaneous acceleration.
E)average acceleration.

Accepted Answer

The answer of The slope of a line connecting two...

Question 16

At a given instant, the acceleration of a certain particle is zero. This means that
A)the velocity is constant.
B)the velocity is increasing.
C)the velocity is decreasing.
D)the velocity is not changing at that instant.
E)the velocity is zero.

Accepted Answer

The answer of At a given instant, the acceleration of...

Question 17

It is possible to have a zero acceleration, and still be moving.

Accepted Answer

Acceleration refers to the rate at which an object changes its velocity, including its direction. So, an object can be moving at a constant velocity and have a zero acceleration because its speed or direction isn't changing.

Question 18

Suppose that a car traveling to the East (+x direction) begins to slow down as it approaches a traffic light. Make a statement concerning its acceleration.
A)The car is decelerating, and its acceleration is positive.
B)The car is decelerating, and its acceleration is negative.
C)The acceleration is zero.
D)The car is accelerating, and its acceleration is positive.
E)The car is accelerating, and its acceleration is negative.

Accepted Answer

When a car slows down while traveling in the positive x direction, its acceleration is in the opposite direction, which is negative.

Question 19

Car A is traveling at twice the speed of car B. They both hit the brakes at the same time and undergo identical decelerations. How does the time required for car A to stop compare with that for car B?

Accepted Answer

The answer of Car A is traveling at twice the...

Question 20

When the velocity and acceleration of an object have opposite signs, the speed of the object increases.

Accepted Answer

When the velocity and acceleration of an object have opposite signs, the speed of the object decreases. When they have the same sign, the speed increases.

Quiz 2: Describing Motion: Kinematics in One Dimension

Which statement is correct about the relationship between the instantaneous speed and the magnitude of the instantaneous velocity?

If the position versus time graph of an object is a horizontal line, the object is

When the velocity and acceleration of an object have the same sign, the speed of the object increases.

Suppose that an object is moving with a constant velocity. Make a statement concerning its acceleration.

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

Suppose that an object travels from one point in space to another. Make a comparison between the displacement and the distance traveled.

Which statement below about the distance between the starting and ending positions and the displacement between the starting and ending positions is correct?

The slope of a tangent line at a given time value on a position versus time graph gives

If the position versus time graph of an object is a vertical line, the object is

When is the average velocity of an object equal to the instantaneous velocity?

Car A is traveling at twice the speed of car B. They both hit the brakes at the same time and undergo identical decelerations. How does the distance required for car A to stop compare with that for car B?

The average velocity of a car traveling with a constant acceleration during a certain time interval is equal to the mean of the velocities at the beginning and end of that time interval.

Which statement is correct about the relationship between the average speed and the magnitude of the average velocity for any motion?

FIGURE 2-1 -Fig. 2-1 shows the position of an object as a function of time. During which time interval is the object at rest between 0.0 s and 9.0 s?

The slope of a line connecting two points on a position versus time graph gives

At a given instant, the acceleration of a certain particle is zero. This means that

It is possible to have a zero acceleration, and still be moving.

Suppose that a car traveling to the East (+x direction) begins to slow down as it approaches a traffic light. Make a statement concerning its acceleration.

Car A is traveling at twice the speed of car B. They both hit the brakes at the same time and undergo identical decelerations. How does the time required for car A to stop compare with that for car B?

When the velocity and acceleration of an object have opposite signs, the speed of the object increases.