Q: A student walks 2.5 km from the Art Gallery to the Bakery, then 4.0 km to the Cafe, all in 2.00 hours. What is the average speed?

$$\text{Average speed} = 3.25\ \mathrm{km/h}$$

Question 1

A cow is at position $$x = -5$$ miles and your car is at $$x = +4$$ miles on a coordinate system where the post office is at the origin. What is the displacement of your car relative to the cow?

Accepted Answer

$$\Delta x = +9$$ miles

Question 2

A student walks from $$x_i = 50 ft to$$ $$x_f = 150 ft $$along 12th Street. What is the student's displacement?

Accepted Answer

$$\Delta x = 100 ft$$

Question 3

A car moves from $$x_i = 0 ft at$$ $$t_i = 0 s to$$ $$x_f = 120 ft at$$ $$t_f = 6 s. $$What is the average velocity of the car?

Accepted Answer

$$v_{avg} = 20\ \mathrm{ft/s}$$

Question 4

Emily starts at $$x_i = +3$$ miles east of a water tower at $$t_i = 0$$ and ends at $$x_f = -2$$ miles west after 0.5 hours. What is her displacement?

Accepted Answer

$$\Delta x = -5$$ miles

Question 5

On a position-versus-time graph, what does the slope at any point represent?

Accepted Answer

The object's velocity at that point

Question 6

A racquetball strikes a wall at $$30\ \mathrm{m/s}$$ and rebounds at $$26\ \mathrm{m/s} in $$the opposite direction. If the collision lasts $$0.020\ \mathrm{s}$$, what is the average acceleration?

Accepted Answer

$$a_{avg} = -2800\ \mathrm{m/s^2$}$$

Question 7

A car traveling at $$15\ \mathrm{m/s}$$ comes to rest in $$1.5\ \mathrm{s}$$ with constant acceleration. How far does the car travel while stopping?

Accepted Answer

$$\Delta x = 11.25\ \mathrm{m}$$

Question 8

Arthur and Betty start 100 m apart and walk toward each other. Arthur walks at $$3.0\ \mathrm{m/s}$$ and Betty at $$2.0\ \mathrm{m/s}. $$How long until they meet?

Accepted Answer

$$t = 20\ \mathrm{s}$$

Question 9

Which of the following best describes uniform motion?

Accepted Answer

Equal displacements occur during any successive equal-time intervals

Question 10

A velocity-versus-time graph is a straight horizontal line at $$v_x = 4\ \mathrm{m/s}$$ from $$t = 0 to$$ $$t = 2 s$$, then decreases linearly to $$v_x = 0 at$$ $$t = 4 s. $$What is the total displacement from $$t = 0 to$$ $$t = 4 s$$?

Accepted Answer

$$x = 12\ \mathrm{m}$$

Question 11

If an object's velocity changes from $$10\ \mathrm{m/s} to$$ $$-30\ \mathrm{m/s} in$$ $$0.5\ \mathrm{s}$$, what is its average acceleration?

Accepted Answer

$$a_{avg} = -80\ \mathrm{m/s^2$}$$

Question 12

A position-versus-time graph is a straight line with a positive slope. What does this indicate about the object's motion?

Accepted Answer

The object is moving with constant positive velocity

Question 13

A student walks 2.5 km from the Art Gallery to the Bakery, then 4.0 km to the Cafe, all in 2.00 hours. What is the average speed?

Accepted Answer

$$	ext{Average speed} = 3.25\ \mathrm{km/h}$$

Question 14

A position-time graph shows a curve that gets steeper as time increases. What does this indicate about the object's velocity?

Accepted Answer

The object's velocity is increasing

Question 15

Which of the following is the correct equation for displacement in terms of initial and final positions?

Accepted Answer

$$\Delta x = x_f - x_i$$

Question 16

A car travels at a constant velocity of $$10\ \mathrm{m/s}$$ for $$5$$ seconds. What is its displacement?

Accepted Answer

$$\Delta x = 50\ \mathrm{m}$$

Question 17

If the velocity of an object is zero, which of the following must be true?

Accepted Answer

The object's position is not changing with time

Question 18

A velocity-versus-time graph shows a constant negative value. What does this indicate about the object's motion?

Accepted Answer

The object is moving in the negative direction with constant velocity

Question 19

Which of the following is the correct formula for average velocity?

Accepted Answer

$$v_{avg} = \frac{\Delta x}{\Delta t}$$

Motion in One Dimension: Position, Velocity, and Acceleration

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