Question 1

An object is moving along the x axis. The graph shows its position from the starting point as a function of time. Various segments of the graph are identified by the letters A, B, C, and D.

-During which interval(s) is(are) the object moving in the negative x direction?

Accepted Answer

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Question 2

An object is moving along a straight line. The graph shows the object's velocity as a function of time.

-During which interval(s) of the graph does the object travel equal distances in equal times?

Accepted Answer

The answer of An object is moving along a straight...

Question 3

An object is moving along a straight line. The graph shows the object's position from the starting point as a function of time.

-In which segment or segments of the graph does the object have the highest speed?

Accepted Answer

The answer of An object is moving along a straight...

Question 4

An object is moving along a straight line. The graph shows the object's position from the starting point as a function of time.

-At which time or times does the object reverse its direction of motion?

Accepted Answer

The answer of An object is moving along a straight...

Question 5

An object is moving along the x axis. The graph shows its position from the starting point as a function of time. Various segments of the graph are identified by the letters A, B, C, and D.

-What is the acceleration of the object at t = 7.0 s?

Accepted Answer

The acceleration of the object is zero m/s² at t = 7.0 s, indicating no change in velocity at that moment.

Question 6

A tennis ball is shot vertically upward in an evacuated chamber inside a tower with an initial speed of 20.0 m/s at time t = 0 s.
-What is the magnitude of the acceleration of the ball when it is at its highest point?

Accepted Answer

In an evacuated chamber, the only force acting on the ball is gravity, so the acceleration is equal to the acceleration due to gravity, which is 9.80 m/s², even at the highest point.

Question 7

The graph shows the height versus time of an object. Estimate the instantaneous velocity, in m/s, of the object at time t = 15 min.

Accepted Answer

The answer of The graph shows the height versus time...

Question 8

An object is moving along a straight line in the positive x direction. The graph shows its position from the starting point as a function of time. Various segments of the graph are identified by the letters A, B, C, and D.

-Which segment(s) of the graph represent(s) a constant velocity of +1.0 m/s?

Accepted Answer

The answer of An object is moving along a straight...

Question 9

An object is moving along a straight line in the positive x direction. The graph shows its position from the starting point as a function of time. Various segments of the graph are identified by the letters A, B, C, and D.

-What was the instantaneous velocity of the object at the end of the eighth second?

Accepted Answer

The answer of An object is moving along a straight...

Question 10

An object is moving along a straight line. The graph shows the object's velocity as a function of time.

-What is the acceleration of the object in the interval from t = 5 s to t = 6 s?

Accepted Answer

The answer of An object is moving along a straight...

Question 11

An object is moving along a straight line. The graph shows the object's velocity as a function of time.

-How far does the object move in the interval from t = 0 to t = 2 s?

Accepted Answer

The answer of An object is moving along a straight...

Question 12

A tennis ball is shot vertically upward in an evacuated chamber inside a tower with an initial speed of 20.0 m/s at time t = 0 s.
-Determine the velocity of the ball at t = 3.00 seconds.

Accepted Answer

The acceleration due to gravity is g = 9.8 m/s^2 downward. The initial velocity is 20.0 m/s upward. At t = 3.00 seconds, the velocity of the ball is:v = u + atv = 20.0 m/s - (9.8 m/s^2)(3.00 s)v = 9.40 m/s downward

Question 13

An object is moving along a straight line. The graph shows the object's position from the starting point as a function of time.

-In which segment(s) of the graph does the object's average velocity (measured from t = 0 s) decrease with time?

Accepted Answer

The object's average velocity (measured from t = 0 s) can be determined by finding the slope of the line connecting two points on the graph. In segments AB and CD, the slope is becoming less steep over time, indicating that the average velocity is decreasing. Therefore, the correct answer is E (BC and DE) as the slope is constant in these segments, meaning the average velocity is constant.

Question 14

An object is moving along a straight line. The graph shows the object's velocity as a function of time.

-During which interval(s) of the graph does the speed of the object increase by equal amounts in equal times?

Accepted Answer

The speed of the object increases by equal amounts in equal times during intervals where the graph shows a constant slope, indicating constant acceleration. This occurs from 0 s to 2 s and 3 s to 5 s.

Question 15

A ball is shot straight up from the surface of the earth with an initial speed of 19.6 m/s.  Neglect any effects due to air resistance.
-How much time elapses between the throwing of the ball and its return to the original launch point?

Accepted Answer

The time to reach the maximum height is given by t = v/g, where v is the initial velocity (19.6 m/s) and g is the acceleration due to gravity (9.8 m/s²). So, t = 19.6/9.8 = 2 s. The total time for the round trip is twice this, so 2 * 2 = 4 s.

Question 16

An object is moving along a straight line. The graph shows the object's position from the starting point as a function of time.

-What was the instantaneous velocity of the object at t = 4 s?

Accepted Answer

The instantaneous velocity at any point on a position-time graph is given by the slope of the tangent line to the graph at that point. At t = 4 s, the tangent line is nearly horizontal, passing through the point (4, 45). The slope of this line is approximately 10 m/s, so the instantaneous velocity at t = 4 s is +10 m/s. Therefore, the correct answer is choice C.

Question 17

Starting from rest, a particle that is confined to move along a straight line is accelerated at a rate of 5.0 m/s². Which statement concerning the slope of the position versus time graph for this particle is true?

Accepted Answer

The answer of Starting from rest, a particle that is...

Question 18

A tennis ball is shot vertically upward in an evacuated chamber inside a tower with an initial speed of 20.0 m/s at time t = 0 s.
-Approximately how long does it take the tennis ball to reach its maximum height?

Accepted Answer

The time taken for the ball to reach the maximum height can be found using the formula: 
t = v/g, where v is the initial velocity and g is the acceleration due to gravity (-9.8 m/s^2). 
Plugging in the given values, we get: 
t = 20/9.8 = 2.04 s (rounded to two significant figures). 
Therefore, the answer is choice B.

Question 19

An object is moving along the x axis. The graph shows its position from the starting point as a function of time. Various segments of the graph are identified by the letters A, B, C, and D.

-What is the velocity of the object at t = 7.0 s?

Accepted Answer

The answer of An object is moving along the x...

Question 20

A tennis ball is shot vertically upward in an evacuated chamber inside a tower with an initial speed of 20.0 m/s at time t = 0 s.
-How high does the ball rise?

Accepted Answer

The answer of A tennis ball is shot vertically upward...

Quiz 2: Kinematics in One Dimension

An object is moving along the x axis. The graph shows its position from the starting point as a function of time. Various segments of the graph are identified by the letters A, B, C, and D. -During which interval(s) is(are) the object moving in the negative x direction?

An object is moving along a straight line. The graph shows the object's velocity as a function of time. -During which interval(s) of the graph does the object travel equal distances in equal times?

An object is moving along a straight line. The graph shows the object's position from the starting point as a function of time. -In which segment or segments of the graph does the object have the highest speed?

An object is moving along a straight line. The graph shows the object's position from the starting point as a function of time. -At which time or times does the object reverse its direction of motion?

An object is moving along the x axis. The graph shows its position from the starting point as a function of time. Various segments of the graph are identified by the letters A, B, C, and D. -What is the acceleration of the object at t = 7.0 s?

A tennis ball is shot vertically upward in an evacuated chamber inside a tower with an initial speed of 20.0 m/s at time t = 0 s. -What is the magnitude of the acceleration of the ball when it is at its highest point?

The graph shows the height versus time of an object. Estimate the instantaneous velocity, in m/s, of the object at time t = 15 min.

An object is moving along a straight line in the positive x direction. The graph shows its position from the starting point as a function of time. Various segments of the graph are identified by the letters A, B, C, and D. -Which segment(s) of the graph represent(s) a constant velocity of +1.0 m/s?

An object is moving along a straight line. The graph shows the object's velocity as a function of time. -What is the acceleration of the object in the interval from t = 5 s to t = 6 s?

An object is moving along a straight line. The graph shows the object's velocity as a function of time. -How far does the object move in the interval from t = 0 to t = 2 s?

A tennis ball is shot vertically upward in an evacuated chamber inside a tower with an initial speed of 20.0 m/s at time t = 0 s. -Determine the velocity of the ball at t = 3.00 seconds.

An object is moving along a straight line. The graph shows the object's position from the starting point as a function of time. -In which segment(s) of the graph does the object's average velocity (measured from t = 0 s) decrease with time?

An object is moving along a straight line. The graph shows the object's velocity as a function of time. -During which interval(s) of the graph does the speed of the object increase by equal amounts in equal times?

A ball is shot straight up from the surface of the earth with an initial speed of 19.6 m/s. Neglect any effects due to air resistance. -How much time elapses between the throwing of the ball and its return to the original launch point?

An object is moving along a straight line. The graph shows the object's position from the starting point as a function of time. -What was the instantaneous velocity of the object at t = 4 s?

Starting from rest, a particle that is confined to move along a straight line is accelerated at a rate of 5.0 m/s2. Which statement concerning the slope of the position versus time graph for this particle is true?

A tennis ball is shot vertically upward in an evacuated chamber inside a tower with an initial speed of 20.0 m/s at time t = 0 s. -Approximately how long does it take the tennis ball to reach its maximum height?

An object is moving along the x axis. The graph shows its position from the starting point as a function of time. Various segments of the graph are identified by the letters A, B, C, and D. -What is the velocity of the object at t = 7.0 s?

A tennis ball is shot vertically upward in an evacuated chamber inside a tower with an initial speed of 20.0 m/s at time t = 0 s. -How high does the ball rise?

Starting from rest, a particle that is confined to move along a straight line is accelerated at a rate of 5.0 m/s². Which statement concerning the slope of the position versus time graph for this particle is true?