Q: Convert $$6,370,000 \text{ m} to $$scientific notation. How many significant figures does the answer have?

$$6.37 \times 10^6$ \text{ m}$$, 3 significant figures

Q: A red blood cell has a diameter of $$0.0000075 \text{ m}. $$Express this in scientific notation.

$$7.5 \times 10$$^{-6}$$ \text{ m}$$

Q: Anna walks $$90 \text{ m}$$ east and then $$50 \text{ m}$$ north. What is her displacement from the starting point?

$$\sqrt{90^2$ + 50^2$} \approx 103 \text{ m}$$

Q: A goose flies $$21 \text{ mi}$$ north, then $$28 \text{ mi}$$ east. What is the net displacement?

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

Question 1

A runner travels 60 miles. Convert this distance to kilometers using the conversion factor $$1 	ext{ mi} = 1.609 	ext{ km}. $$How many significant figures should the answer have?

Accepted Answer

97 km, 2 significant figures

Question 2

When multiplying $$3.73 	imes 5.7$$, how many significant figures should the answer have?

Accepted Answer

Two significant figures

Question 3

When adding $$18.54 + 106.6$$, how many decimal places should the answer have?

Accepted Answer

One decimal place

Question 4

Convert $$6,370,000 	ext{ m} to $$scientific notation. How many significant figures does the answer have?

Accepted Answer

$$6.37 	imes 10^6$ 	ext{ m}$$, 3 significant figures

Question 5

A red blood cell has a diameter of $$0.0000075 	ext{ m}. $$Express this in scientific notation.

Accepted Answer

$$7.5 	imes 10$$^{-6}$$ 	ext{ m}$$

Question 6

Given a right triangle with sides $$O ($$opposite), $$A ($$adjacent), and $$H ($$hypotenuse), which equation correctly relates the sides using the Pythagorean theorem?

Accepted Answer

$$H = \sqrt{O^2$ + A^2$}$$

Question 7

A skateboarder moves at constant speed. Which motion diagram best represents this?

Accepted Answer

Equally spaced positions at equal time intervals

Question 8

A car slows down as it approaches a stop sign. Which motion diagram best represents this?

Accepted Answer

Positions getting closer together at equal time intervals

Question 9

In the particle model, how is a moving object represented?

Accepted Answer

As a single point with all mass concentrated at that point

Question 10

If Maria is at position $$x = 23 	ext{ m}$$ and undergoes a displacement $$\Delta x = -50 	ext{ m}$$, what is her final position?

Accepted Answer

$$-27 	ext{ m}$$

Question 11

A car moves from $$x_i = 0 	ext{ ft} to$$ $$x_f = 120 	ext{ ft} in$$ $$\Delta t = 6 	ext{ s}. $$What is its average velocity?

Accepted Answer

$$20 	ext{ ft/s}$$

Question 12

Which of the following is a vector quantity?

Accepted Answer

Velocity

Question 13

Anna walks $$90 	ext{ m}$$ east and then $$50 	ext{ m}$$ north. What is her displacement from the starting point?

Accepted Answer

$$\sqrt{90^2$ + 50^2$} \approx 103 	ext{ m}$$

Question 14

A goose flies $$21 	ext{ mi}$$ north, then $$28 	ext{ mi}$$ east. What is the net displacement?

Accepted Answer

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

Question 15

Which scenario best illustrates uniform motion?

Accepted Answer

A car moving at constant speed in a straight line

Question 16

If a vector $$\vec{A}$$ has a magnitude of $$10$$ and points east, and vector $$\vec{B}$$ has a magnitude of $$10$$ and points north, what is the magnitude of $$\vec{A} + \vec{B}$$?

Accepted Answer

$$\sqrt{10^2$ + 10^2$} = 14.1$$

Question 17

A ball is hit at a $$60^\circ$$ angle from the horizontal. Which trigonometric function would you use to find the vertical component of its velocity?

Accepted Answer

$$v_y = v \sin(60^\circ)$$

Question 18

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

Accepted Answer

Elliptical motion

Question 19

A student uses a calculator to compute $$97 \div (2 	imes \pi). $$What is the correct way to enter this on a TI-30Xa calculator?

Accepted Answer

97 ÷ (2 × π)

Chapter 1: Representing Motion – Fundamental Concepts and Mathematical Tools

Study Guide - Practice Questions

Study Guide - Flashcards