Q: Which of the following is the correct way to convert $$21.5$$ inches to centimeters using the conversion factor $$1\ \mathrm{in.} = 2.54\ \mathrm{cm}$$?

$$21.5\ \mathrm{in.} \times \frac{2.54\ \mathrm{cm}}{1\ \mathrm{in.}}$$

Question 1

Which of the following best describes the particle model in physics?

Accepted Answer

A model that treats an object as if all its mass is concentrated at a single point.

Question 2

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

Accepted Answer

$$-6.50\ \mathrm{m/s}$$

Question 3

Which of the following is a vector quantity?

Accepted Answer

Displacement

Question 4

A cyclist travels at an average velocity of $$18\ \mathrm{km/h}$$ for $$2.5\ \mathrm{h}. $$How far does she travel?

Accepted Answer

$$45\ \mathrm{km}$$

Question 5

Which of the following numbers has three significant figures?

Accepted Answer

0.430

Question 6

A ball is thrown $$90\ \mathrm{m}$$ east and then $$50\ \mathrm{m}$$ north. What is the magnitude of its net displacement?

Accepted Answer

$$100\ \mathrm{m}$$

Question 7

Which of the following is NOT a correct SI unit?

Accepted Answer

Second for mass

Question 8

Convert $$0.00034 to $$scientific notation.

Accepted Answer

$$3.4 	imes 10$$^{-4}$$

Question 9

A car travels $$150\ \mathrm{ft}$$ east, then $$50\ \mathrm{ft}$$ west. What is its displacement?

Accepted Answer

$$100\ \mathrm{ft}$$\ east

Question 10

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

Accepted Answer

Velocity includes direction, speed does not.

Question 11

A measurement is recorded as $$3.27\ \mathrm{cm}. $$Which digit is estimated?

Accepted Answer

The 7 in $$3.27$$

Question 12

Which of the following is an example of a derived SI unit?

Accepted Answer

Meter per second ($$\mathrm{m/s})$$

Question 13

A student adds $$18.54$$, $$106.6$$, and $$0.21. $$What is the correct answer with proper significant figures?

Accepted Answer

$$125.1$$

Question 14

A rural mail carrier drives $$22.0\ \mathrm{km}$$ north, then $$47.0\ \mathrm{km} at$$ $$60.0^{\circ}$$ south of east. What is the magnitude of her net displacement?

Accepted Answer

$$30.2\ \mathrm{km}$$

Question 15

Which of the following is an exact number?

Accepted Answer

1 dozen = 12

Question 16

A student multiplies $$3.73 by$$ $$5.7. $$How many significant figures should the answer have?

Accepted Answer

2

Question 17

Which of the following is the correct way to convert $$21.5$$ inches to centimeters using the conversion factor $$1\ \mathrm{in.} = 2.54\ \mathrm{cm}$$?

Accepted Answer

$$21.5\ \mathrm{in.} 	imes \frac{2.54\ \mathrm{cm}}{1\ \mathrm{in.}}$$

Question 18

A goose flies $$21\ \mathrm{mi}$$ north, then $$28\ \mathrm{mi}$$ east. What is the straight-line distance from its starting point to its final position?

Accepted Answer

$$35\ \mathrm{mi}$$

Question 19

Which of the following best describes an order-of-magnitude estimate?

Accepted Answer

An estimate accurate to about one significant figure.

Question 20

If a vector has components $$R_x = -2.55\ \mathrm{m}$$ and $$R_y = -0.37\ \mathrm{m}$$, what is the magnitude of the vector?

Accepted Answer

$$2.58\ \mathrm{m}$$

Chapter 1: Representing Motion – Study Notes for Physics with Algebra

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