Question 1

Which of the following best describes the difference between distance traveled and displacement?

Accepted Answer

Distance traveled is always positive, while displacement can be positive or negative.

Question 2

A car accelerates uniformly from rest to $$25\ \mathrm{m/s} in$$ $$5.0\ \mathrm{s}. $$What is its average acceleration?

Accepted Answer

$$2.5\ \mathrm{m/s^2$}$$

Question 3

Which of the following is the correct SI unit for acceleration?

Accepted Answer

$$\mathrm{m/s^2$}$$

Question 4

Given $$x(t) = 2.10t^2$ + 2.80$$, what is the instantaneous velocity at $$t = 5.00\ \mathrm{s}$$?

Accepted Answer

$$21.0\ \mathrm{m/s}$$

Question 5

A runner moves from $$x_1 = 50.0$$\ \mathrm{m}$$ to x_2$ = 30.5\ \mathrm{m} in$$ $$3.00\ \mathrm{s}. $$What is the average velocity?

Accepted Answer

$$-6.5\ \mathrm{m/s}$$

Question 6

Which kinematic equation would you use to solve for displacement when you know $$v_0$$, $$v$$, and $$t$$?

Accepted Answer

$$x = x_0$ + \frac{1}{2}(v_0$ + v)t$$

Question 7

A driver brakes from $$v_1 = 15.0$$\ \mathrm{m/s}$$ to v_2$ = 5.0\ \mathrm{m/s} in$$ $$5.0\ \mathrm{s}. $$What is the average acceleration?

Accepted Answer

$$-2.0\ \mathrm{m/s^2$}$$

Question 8

Which of the following is a vector quantity?

Accepted Answer

Displacement

Question 9

If $$x(t) = (2.10\ \mathrm{m/s^2$})t^2$ + (2.80\ \mathrm{m})$$, what is the displacement from $$t = 3.00\ \mathrm{s} to$$ $$t = 5.00\ \mathrm{s}$$?

Accepted Answer

$$33.6\ \mathrm{m}$$

Question 10

Which of the following is the correct definition of instantaneous velocity?

Accepted Answer

The slope of the tangent to the position vs. time curve at any instant.

Question 11

A car travels east at $$30\ \mathrm{m/s}$$ for $$10\ \mathrm{s}$$, then west at $$10\ \mathrm{m/s}$$ for $$10\ \mathrm{s}. $$What is the average velocity for the entire trip?

Accepted Answer

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

Question 12

Which SI prefix corresponds to $$10^{-6}$$?

Accepted Answer

micro

Question 13

Which of the following statements about units is correct?

Accepted Answer

An answer without units is incomplete.

Question 14

If the position of a particle is given by $$x(t) = 3t^2$ + 2t + 1$$, what is the acceleration at any time $$t$$?

Accepted Answer

$$6\ \mathrm{m/s^2$}$$

Question 15

Which kinematic equation is missing the variable $$a ($$acceleration)?

Accepted Answer

$$x = x_0$ + \frac{1}{2}(v_0$ + v)t$$

Question 16

A ball is thrown straight up with an initial velocity of $$15.0\ \mathrm{m/s}. $$What is the acceleration at the top of its path?

Accepted Answer

$$9.80\ \mathrm{m/s^2$}$$\ downward

Unit 1 Study Guide: Representing Motion and Motion in One Dimension

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