$$v_{avg} = \frac{\text{displacement}}{\text{time}}$$

$$\tan$$^{-1}$$\left(\frac{4}{3}\right)$$ north of east

Question 1

A cross-country skier travels 1.00 km north and then 2.00 km east. What is the magnitude of her displacement?

Accepted Answer

$$2.24~\mathrm{km}$$

Question 2

A car travels 30 miles in 35 minutes. What is its average speed in $$\mathrm{mi/h}$$?

Accepted Answer

$$51.43~\mathrm{mi/h}$$

Question 3

Which of the following best describes displacement?

Accepted Answer

A vector quantity representing the straight-line distance and direction from the initial to the final position.

Question 4

A runner completes one lap around a 400 m track in 100 seconds. What is her average velocity?

Accepted Answer

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

Question 5

Convert $$20~\mathrm{ft/s} to$$ $$\mathrm{mi/h}.$$

Accepted Answer

$$14~\mathrm{mi/h}$$

Question 6

Which of the following is a vector quantity?

Accepted Answer

Displacement

Question 7

A car’s speedometer reads 60 mph. What does this value represent?

Accepted Answer

Instantaneous speed

Question 8

A right triangle has legs of 6 cm and 8 cm. What is the length of the hypotenuse?

Accepted Answer

$$10~\mathrm{cm}$$

Question 9

A cyclist rides 5 km north, then 12 km east. What is the magnitude of the displacement?

Accepted Answer

$$13~\mathrm{km}$$

Question 10

Which of the following is NOT a type of motion discussed in the study materials?

Accepted Answer

Vibrational motion

Question 11

A car travels 100 km north and then 100 km south. What is the total distance and displacement?

Accepted Answer

Distance: $$200~\mathrm{km}$$, Displacement: $$0~\mathrm{km}$$

Question 12

Which formula correctly calculates average velocity?

Accepted Answer

$$v_{avg} = \frac{	ext{displacement}}{	ext{time}}$$

Question 13

A hiker walks 3 km east, then 4 km north. What is the direction of her displacement from the starting point?

Accepted Answer

$$	an$$^{-1}$$\left(\frac{4}{3}ight)$$ north of east

Question 14

Which of the following is a correct SI unit conversion?

Accepted Answer

$$1~\mathrm{mi} = 1.609~\mathrm{km}$$

Question 15

A projectile is launched and follows a parabolic path. Which type of motion is this?

Accepted Answer

Projectile motion

Chapter 1: Representing Motion – Foundations of Kinematics

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