Question 1

A car starts from rest and accelerates uniformly at $$2.0\ \mathrm{m/s^2$}$$ along a straight road. What is the car's velocity after $$5.0\ \mathrm{s}$$?

Accepted Answer

$$10.0\ \mathrm{m/s}$$

Question 2

Which of the following best describes the difference between speed and velocity?

Accepted Answer

Speed is a scalar and velocity is a vector.

Question 3

A runner moves from $$x = 2\ \mathrm{m} to$$ $$x = 8\ \mathrm{m} in$$ $$3\ \mathrm{s}. $$What is the average velocity?

Accepted Answer

$$2.0\ \mathrm{m/s}$$

Question 4

An object moves with constant acceleration. Which equation gives its position as a function of time?

Accepted Answer

$$x = x_0$ + v_0$ t + \frac{1}{2} a t^2$

Question 5

A ball is thrown straight up with an initial velocity of $$15\ \mathrm{m/s}. $$What is its velocity at the highest point?

Accepted Answer

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

Question 6

A car accelerates from $$10\ \mathrm{m/s} to$$ $$30\ \mathrm{m/s} in$$ $$4\ \mathrm{s}. $$What is the average acceleration?

Accepted Answer

$$5.0\ \mathrm{m/s^2$}$$

Question 7

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

Accepted Answer

$$v = \frac{dx}{dt}$$

Question 8

A motorcycle accelerates from rest at $$4.0\ \mathrm{m/s^2$}$$ until it travels $$50\ \mathrm{m}. $$How long does it take to reach $$50\ \mathrm{m}$$?

Accepted Answer

$$5.0\ \mathrm{s}$$

Question 9

If an object’s velocity is negative and its acceleration is positive, what happens to the object?

Accepted Answer

It slows down.

Question 10

A bug moves along the x-axis. Its velocity changes from $$-2\ \mathrm{m/s} to$$ $$2\ \mathrm{m/s} in$$ $$2\ \mathrm{s}. $$What is the average acceleration?

Accepted Answer

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

Question 11

Which of the following is NOT a vector quantity?

Accepted Answer

Elapsed time

Question 12

A car travels at $$20\ \mathrm{m/s}$$ for $$10\ \mathrm{s}$$, then at $$30\ \mathrm{m/s}$$ for $$5\ \mathrm{s}. $$What is the average speed for the entire trip?

Accepted Answer

$$23.3\ \mathrm{m/s}$$

Question 13

Which kinematic equation is used to eliminate time $$t$$ when solving for final velocity?

Accepted Answer

$$v^2$$ = $$v_0^2 + 2a(x$$ - $$x_0$$)$$

Question 14

A train slows down with a constant acceleration of $$-1.5\ \mathrm{m/s^2$}. If $$its initial velocity is $$12\ \mathrm{m/s}$$, how long does it take to stop?

Accepted Answer

$$8.0\ \mathrm{s}$$

Question 15

Which of the following statements is true for an object moving with constant velocity?

Accepted Answer

Its acceleration is zero.

Question 16

A car moves with a velocity given by $$v(t) = 3t^2$. What is the acceleration at t = 2$$\ \mathrm{s}$$?

Accepted Answer

$$12\ \mathrm{m/s^2$}$$

Question 17

A cyclist travels $$100\ \mathrm{m}$$ north, then $$100\ \mathrm{m}$$ south in $$50\ \mathrm{s}. $$What is the average velocity?

Accepted Answer

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

Question 18

Which of the following is the correct expression for average acceleration?

Accepted Answer

$$a_{avg} = \frac{v_f - v_i}{t_f - t_i}$$

Question 19

A car starts from rest and travels $$100\ \mathrm{m} in$$ $$10\ \mathrm{s}$$ with constant acceleration. What is the acceleration?

Accepted Answer

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

Kinematics: Motion Diagrams, 1D Motion, and Constant Acceleration

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