Q: A car travels 120 km east in 2 hours, then 160 km north in 3 hours. What is the magnitude of the car's net displacement from its starting point?

$$\sqrt{(120^2$ + 160^2$)} = 200\ \text{km}$$

Q: A runner moves from $$x = -5\ \text{m} to$$ $$x = 15\ \text{m} in$$ $$4\ \text{s}. $$What is the runner’s average velocity?

$$\frac{15 - (-5)}{4} = 5\ \text{m/s}$$

Q: A ball is thrown with a velocity of $$10\ \text{m/s} at an $$angle of $$30^\circ$$ above the horizontal. What is the horizontal component of its velocity?

$$10 \cos 30^\circ = 8.66\ \text{m/s}$$

Q: Convert $$3.5\ \text{miles} to $$kilometers using the conversion $$1\ \text{mile} = 1.609\ \text{km}.$$

$$3.5 \times 1.609 = 5.63\ \text{km}$$

Q: A cyclist rides $$2.0\ \text{km}$$ east, then $$3.0\ \text{km}$$ north. What is the magnitude of the net displacement?

$$\sqrt{2.0^2$ + 3.0^2$} = 3.6\ \text{km}$$

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

$$\sqrt{21^2$ + 28^2$} = 35\ \text{mi}$$

Q: A car moves at a constant speed of $$60\ \text{km/h}$$ for $$2.5\ \text{h}. $$What distance does it travel?

$$60 \times 2.5 = 150\ \text{km}$$

Q: A student walks $$0.75\ \text{km} in$$ $$10$$ minutes. What is her average speed in m/s? (1 km = 1000 m)

$$\frac{750}{600} = 1.25\ \text{m/s}$$

Question 1

A car travels 120 km east in 2 hours, then 160 km north in 3 hours. What is the magnitude of the car's net displacement from its starting point?

Accepted Answer

$$\sqrt{(120^2$ + 160^2$)} = 200\ 	ext{km}$$

Question 2

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

Accepted Answer

It treats a moving object as if all its mass were concentrated at a single point.

Question 3

A runner moves from $$x = -5\ 	ext{m} to$$ $$x = 15\ 	ext{m} in$$ $$4\ 	ext{s}. $$What is the runner’s average velocity?

Accepted Answer

$$\frac{15 - (-5)}{4} = 5\ 	ext{m/s}$$

Question 4

Which of the following is a vector quantity?

Accepted Answer

Displacement

Question 5

A ball is thrown with a velocity of $$10\ 	ext{m/s} at an $$angle of $$30^\circ$$ above the horizontal. What is the horizontal component of its velocity?

Accepted Answer

$$10 \cos 30^\circ = 8.66\ 	ext{m/s}$$

Question 6

Convert $$3.5\ 	ext{miles} to $$kilometers using the conversion $$1\ 	ext{mile} = 1.609\ 	ext{km}.$$

Accepted Answer

$$3.5 	imes 1.609 = 5.63\ 	ext{km}$$

Question 7

Which of the following numbers is correctly written in scientific notation with three significant figures?

Accepted Answer

$$4.56 	imes 10^3$

Question 8

A cyclist rides $$2.0\ 	ext{km}$$ east, then $$3.0\ 	ext{km}$$ north. What is the magnitude of the net displacement?

Accepted Answer

$$\sqrt{2.0^2$ + 3.0^2$} = 3.6\ 	ext{km}$$

Question 9

If a measurement is $$0.00450\ 	ext{m}$$, how many significant figures does it have?

Accepted Answer

3

Question 10

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

Accepted Answer

$$\sqrt{21^2$ + 28^2$} = 35\ 	ext{mi}$$

Question 11

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

Accepted Answer

micro-

Question 12

A car moves at a constant speed of $$60\ 	ext{km/h}$$ for $$2.5\ 	ext{h}. $$What distance does it travel?

Accepted Answer

$$60 	imes 2.5 = 150\ 	ext{km}$$

Question 13

Which of the following is an example of a scalar quantity?

Accepted Answer

Temperature

Question 14

A student walks $$0.75\ 	ext{km} in$$ $$10$$ minutes. What is her average speed in m/s? (1 km = 1000 m)

Accepted Answer

$$\frac{750}{600} = 1.25\ 	ext{m/s}$$

Question 15

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

Accepted Answer

Velocity includes direction, while speed does not.

Question 16

A measurement is recorded as $$2.30 	imes 10^4$. How many significant figures does this value have?

Accepted Answer

3

Question 17

A toy truck moves as shown in the motion diagram (see $$image_2). $$What can you infer about its motion?

Accepted Answer

The truck is moving at a constant speed.

Question 18

If you walk $$1.0\ 	ext{mile} in$$ $$20$$ minutes, what is your average speed in m/s? (1 mile = 1.609 km)

Accepted Answer

$$\frac{1609}{1200} = 1.34\ 	ext{m/s}$$

Chapter 1: Representing Motion – Study Notes for College Physics

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