Question 1

Refer to the three motion-dot diagrams labeled A, B, and C (first image). Which diagram best represents an object moving at a constant velocity, and why?

Accepted Answer

Diagram B, because the dots are equally spaced, indicating the object covers equal distances in equal time intervals.

Question 2

Which of the following best describes the physical meaning of the slope of a position-time graph (see second image)?

Accepted Answer

The object's velocity.

Question 3

A car moves such that its position-time graph is a straight line with a positive slope (second image). What does this indicate about the car's motion?

Accepted Answer

The car is moving at a constant velocity.

Question 4

Which of the following position-time graphs (second and third images) represents an object with constant acceleration?

Accepted Answer

A curve that gets steeper with time.

Question 5

Given the velocity-time graph shown (fourth image), what does the positive slope indicate?

Accepted Answer

The object is accelerating.

Question 6

Using the equation $$v = \frac{\Delta x}{\Delta t} ($$fifth image), what is the average velocity of an object that moves 20 meters in 4 seconds?

Accepted Answer

$$5\ \mathrm{m/s}$$

Question 7

Hans yodels into the Grand Canyon and hears his echo 5.20 s later. If the speed of sound is $$340\ \mathrm{m/s}$$, how deep is the canyon? (sixth image)

Accepted Answer

$$884\ \mathrm{m}$$

Question 8

A runner moves at $$5\ \mathrm{m/s}$$ for the first $$2000\ \mathrm{m}$$ and at $$4\ \mathrm{m/s}$$ for the last $$3000\ \mathrm{m} of a $$race. What is the total time for the race?

Accepted Answer

$$950\ \mathrm{s}$$

Question 9

A car drives $$50\ \mathrm{mph}$$ for $$2$$ hours and $$70\ \mathrm{mph}$$ for $$2$$ hours. What is the average velocity for the entire trip?

Accepted Answer

$$60\ \mathrm{mph}$$

Question 10

Which of the following is a scalar quantity?

Accepted Answer

Distance

Question 11

Which of the following is a vector quantity?

Accepted Answer

Displacement

Question 12

What does the area under a velocity-time graph represent?

Accepted Answer

Displacement

Question 13

What does the area under an acceleration-time graph represent?

Accepted Answer

Change in velocity

Question 14

If an object’s velocity-time graph is a horizontal line above the time axis, what can you conclude about its motion?

Accepted Answer

The object is moving at a constant velocity.

Question 15

A car travels $$5.0\ \mathrm{m}$$ east, then $$18.0\ \mathrm{m}$$ west. What is the car’s displacement?

Accepted Answer

$$13.0\ \mathrm{m}$$\ west

Question 16

A velocity-time graph shows a line with a constant positive slope (see image 11). What does the area under this line from $$t=0 to$$ $$t=5$$ seconds represent?

Accepted Answer

The object's displacement during the 5 seconds.

Question 17

If the acceleration-time graph is a horizontal line at $$2\ \mathrm{m/s^2$}$$ from $$t=0 to$$ $$t=10$$ seconds, what is the change in velocity over this interval?

Accepted Answer

$$20\ \mathrm{m/s}$$

Question 18

Which of the following best describes instantaneous velocity?

Accepted Answer

The velocity at a specific instant, found by the slope of the tangent to the position-time graph.

Question 19

A car moves at $$50\ \mathrm{mph}$$ for $$20$$ miles and then at $$70\ \mathrm{mph}$$ for another $$20$$ miles. What is the average velocity for the entire trip?

Accepted Answer

$$58.3\ \mathrm{mph}$$

Modeling Motion: Foundations of Kinematics in Physics with Algebra

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