Question 1

Which of the following is a derived SI unit, and what are its base units?

Accepted Answer

Newton; base units: $$\mathrm{kg \cdot m/s^2$}$$

Question 2

A car travels 100 meters east in 20 seconds, then 100 meters west in 20 seconds. What is the car's average velocity for the entire trip?

Accepted Answer

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

Question 3

Which of the following best describes the difference between a scalar and a vector quantity?

Accepted Answer

A vector has both magnitude and direction; a scalar has only magnitude.

Question 4

A runner completes one lap around a 400 m track in 80 seconds, ending at the starting point. What are the runner's average speed and average velocity?

Accepted Answer

Average speed $$\u003e 0\ \mathrm{m/s}$$; average velocity $$= 0\ \mathrm{m/s}$$

Question 5

Which formula correctly gives the magnitude of the centripetal force acting on a mass $$m$$ moving at speed $$v in a $$circle of radius $$r$$?

Accepted Answer

$$F = m v^2$ / r$$

Question 6

A cyclist travels at a constant speed. Which of the following motion diagrams best represents this motion?

Accepted Answer

Images are equally spaced along the path.

Question 7

A ball is tossed straight up. At the very top of its flight (ignore air resistance), what are the velocity and acceleration vectors?

Accepted Answer

$$v = 0$$ and $$a$$ points downward

Question 8

A student walks 500 meters east in 10 minutes. What is her average velocity?

Accepted Answer

$$50\ \mathrm{m/min}$$\ east

Question 9

Which of the following is NOT a base SI unit?

Accepted Answer

Newton

Question 10

A car is moving to the right and slowing down. What are the directions of its velocity and acceleration vectors?

Accepted Answer

Velocity right, acceleration left

Question 11

A vector $$\vec{A}$$ points east and a vector $$\vec{B}$$ points north. What is the direction of $$\vec{A} + \vec{B}$$?

Accepted Answer

Northeast

Question 12

A car travels 60 miles per hour. Convert this speed to meters per second. (1 mile = 1609.34 m, 1 hour = 3600 s)

Accepted Answer

$$26.8\ \mathrm{m/s}$$

Question 13

Which of the following is a vector quantity?

Accepted Answer

Velocity

Question 14

A position vs. time graph shows 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 15

A car moves from $$x = 10\ \mathrm{km} to$$ $$x = -20\ \mathrm{km} in 30 $$minutes. What is the car's displacement?

Accepted Answer

$$-30\ \mathrm{km}$$

Question 16

Which of the following best describes projectile motion?

Accepted Answer

Motion under gravity with both horizontal and vertical components

Question 17

If an object’s velocity and acceleration vectors point in opposite directions, what happens to the object’s speed?

Accepted Answer

It decreases

Question 18

A force of $$10\ \mathrm{N} is $$applied to a $$2\ \mathrm{kg}$$ object. What is its acceleration?

Accepted Answer

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

Question 19

Which of the following is the correct method for subtracting vector $$\vec{B}$$ from vector $$\vec{A}$$?

Accepted Answer

$$\vec{A} - \vec{B} = \vec{A} + (-\vec{B})$$

Chapter 1: Concepts of Motion – Foundations for Physics with Calculus

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