Question 1

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

Accepted Answer

Distance is the length of the path traveled, while displacement is the straight-line change in position from start to finish.

Question 2

A runner completes a 400 m lap around a track in 50 s, ending at the starting point. What is the runner's average velocity?

Accepted Answer

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

Question 3

Which equation correctly gives the position $$x(t) of an $$object under constant acceleration $$a$$ with initial position $$x_0$$ and initial velocity $$v_0$$?

Accepted Answer

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

Question 4

A car accelerates from rest at $$5\ \mathrm{m/s^2$}$$ for $$4\ \mathrm{s}. $$What is its final velocity?

Accepted Answer

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

Question 5

Which of the following is the correct definition of average speed?

Accepted Answer

The distance traveled by an object during a time period divided by the amount of time in that time period.

Question 6

If velocity is the derivative of position, what is the definite integral of velocity from $$t_1 to$$ $$t_2$$?

Accepted Answer

$$\int_{t_1$}^{t_2$} v(t) dt = x(t_2$) - x(t_1$)$$

Question 7

A ball is thrown straight up with an initial velocity of $$10\ \mathrm{m/s}. $$Ignoring air resistance, what is the velocity of the ball when it returns to its starting point?

Accepted Answer

$$-10\ \mathrm{m/s}$$

Question 8

Which of the following statements about speed and velocity is correct?

Accepted Answer

Speed is a scalar and velocity is a vector.

Question 9

A van is moving at $$36.0\ \mathrm{m/s}$$ and a police car starts from rest, accelerating at $$6.00\ \mathrm{m/s^2$}. If $$the police car starts $$2$$ seconds after the van passes, how far down the road does the cop catch the van?

Accepted Answer

$$565\ \mathrm{m}$$

Question 10

An object has an acceleration defined by $$a(t) = 2t. At$$ $$t = 2\ \mathrm{s}$$, its velocity is $$14\ \mathrm{m/s}. $$What is the velocity function $$v(t)$$?

Accepted Answer

$$v(t) = t^2$ + 10$$

Question 11

A child throws a ball straight up from a height of $$1.20\ \mathrm{m}$$ with a velocity of $$5.00\ \mathrm{m/s}. $$How long does it take for the ball to hit the ground? (Use $$g = 9.8\ \mathrm{m/s^2$}$$ downward.)

Accepted Answer

$$1.22\ \mathrm{s}$$

Question 12

Which of the following is the correct kinematic equation for velocity under constant acceleration?

Accepted Answer

$$v = v_0$ + at$$

Question 13

A car starts from rest and accelerates at $$2.0\ \mathrm{m/s^2$}$$ for $$5.0\ \mathrm{s}. $$What distance does it cover in this time?

Accepted Answer

$$25\ \mathrm{m}$$

Question 14

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

Accepted Answer

It decreases.

Question 15

A position vs. 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 at constant positive velocity.

Question 16

Which of the following is true about free fall near Earth's surface (ignoring air resistance)?

Accepted Answer

All objects accelerate downward at $$9.8\ \mathrm{m/s^2$}$$ regardless of mass.

Question 17

A velocity vs. time graph for an object is a horizontal line above the time axis. What does this tell you about the object's acceleration?

Accepted Answer

The acceleration is zero.

Question 18

A car moves with a constant velocity of $$15\ \mathrm{m/s}$$ for $$10\ \mathrm{s}. $$What is the displacement?

Accepted Answer

$$150\ \mathrm{m}$$

Question 19

If an object’s velocity changes from $$10\ \mathrm{m/s} to$$ $$-5\ \mathrm{m/s} in$$ $$3\ \mathrm{s}$$, what is its average acceleration?

Accepted Answer

$$-5\ \mathrm{m/s^2$}$$

One-Dimensional Kinematics: Study Notes for Physics 206

Study Guide - Practice Questions

Study Guide - Flashcards