Question 1

A car moves with a constant velocity along a straight road. Which of the following statements about its position vs. time graph is correct?

Accepted Answer

The graph is a straight line with a constant positive slope.

Question 2

If the position of an object at time $$t=0 is$$ $$x_0 = 5$$\ \mathrm{m}$$ and it moves with a constant velocity v = 3$$\ \mathrm{m/s}$$, what is its position after 4$ seconds?

Accepted Answer

$$x = 17\ \mathrm{m}$$

Question 3

Which equation correctly relates position, initial position, velocity, and time for an object moving with constant velocity?

Accepted Answer

$$x = x_0$ + v t$$

Question 4

On a position vs. time graph, what does the y-intercept represent?

Accepted Answer

The initial position of the object.

Question 5

A runner starts at $$x_0 = 0$$\ \mathrm{m}$$ and runs with a constant velocity of 5$$\ \mathrm{m/s}$$ for 10$ seconds. What is the total displacement?

Accepted Answer

$$50\ \mathrm{m}$$

Question 6

If the slope of a position vs. time graph is negative, what does this indicate about the object's motion?

Accepted Answer

The object is moving in the negative direction.

Question 7

A cyclist moves with a constant velocity. If you double the time, what happens to the displacement?

Accepted Answer

The displacement doubles.

Question 8

Which of the following best describes the motion of an object with a position vs. time graph that is a straight line parallel to the time axis?

Accepted Answer

The object is at rest.

Question 9

A train moves with a constant velocity of $$v = -2\ \mathrm{m/s}. If $$its initial position is $$x_0 = 100$$\ \mathrm{m}$$, what is its position after 15$ seconds?

Accepted Answer

$$x = 70\ \mathrm{m}$$

Question 10

Which of the following is NOT a characteristic of constant velocity motion?

Accepted Answer

The slope of the position vs. time graph changes over time.

Question 11

A student plots the position of a moving object at several time intervals and finds the data fits the equation $$x = 4 + 6t. $$What is the velocity of the object?

Accepted Answer

$$6\ \mathrm{m/s}$$

Question 12

A position vs. time graph for a moving object passes through the point $$(2\ \mathrm{s}, 8\ \mathrm{m})$$ and has a slope of $$3\ \mathrm{m/s}. $$What is the equation for the object's position as a function of time?

Accepted Answer

$$x = 8 + 3(t-2)$$

Question 13

A hiker starts at $$x_0 = -10$$\ \mathrm{m}$$ and walks with a constant velocity of 2$$\ \mathrm{m/s}$$ for 7$ seconds. What is the hiker's final position?

Accepted Answer

$$x = 4\ \mathrm{m}$$

Question 14

Which real-world scenario best illustrates constant velocity motion?

Accepted Answer

A car driving on a straight highway at cruise control.

Question 15

If an object's position vs. time graph has a slope of zero, what is its velocity?

Accepted Answer

$$0\ \mathrm{m/s}$$

Question 16

A person walks east at $$1.5\ \mathrm{m/s}$$ for $$20$$ seconds. What is their displacement?

Accepted Answer

$$30\ \mathrm{m}$$

Question 17

Which of the following graphs best represents an object moving with constant velocity?

Accepted Answer

A straight line with a constant slope on a position vs. time graph.

Question 18

A car starts at $$x_0 = 12$$\ \mathrm{m}$$ and moves with a velocity of -4$$\ \mathrm{m/s}$$ for 5$ seconds. What is its final position?

Accepted Answer

$$x = -8\ \mathrm{m}$$

Question 19

A position vs. time graph for a moving object has a slope of $$5\ \mathrm{m/s}. $$What does this slope represent?

Accepted Answer

The velocity of the object.

Unit 2: Constant Velocity Motion – Equations, Graphs, and Concepts

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