Q: A car travels at a constant velocity of $$20\ \mathrm{m/s}$$ for $$6\ \mathrm{s}. $$What is the total displacement?

$$20 \times 6 = 120\ \mathrm{m}$$

Q: A student walks 90 m east and then 50 m north. What is the direction of the net displacement vector from the starting point?

$$\theta = \tan$$^{-1}$$\left(\frac{50}{90}\right) \approx 29^\circ$$ north of east

Question 1

Which of the following best describes the difference between distance and displacement?

Accepted Answer

Distance is the total length of the path traveled, while displacement is the straight-line change in position from the initial to the final point.

Question 2

A runner completes one lap around a 400 m circular track, ending at the starting point. What are the runner's distance traveled and displacement?

Accepted Answer

Distance = 400 m, Displacement = 0 m

Question 3

A car moves from position $$x_i = -5$$ miles to $$x_f = +4$$ miles. What is the car's displacement?

Accepted Answer

$$\Delta x = +9$$ miles

Question 4

Which of the following is a vector quantity?

Accepted Answer

Velocity

Question 5

A cyclist travels 30 m east, then 40 m north. What is the magnitude of the cyclist's displacement?

Accepted Answer

$$\sqrt{30^2$ + 40^2$} = 50 m$$

Question 6

A car travels at a constant velocity of $$20\ \mathrm{m/s}$$ for $$6\ \mathrm{s}. $$What is the total displacement?

Accepted Answer

$$20 	imes 6 = 120\ \mathrm{m}$$

Question 7

Which of the following best describes uniform motion?

Accepted Answer

Motion with constant speed in a straight line

Question 8

A student walks 90 m east and then 50 m north. What is the direction of the net displacement vector from the starting point?

Accepted Answer

$$	heta = 	an$$^{-1}$$\left(\frac{50}{90}ight) \approx 29^\circ$$ north of east

Question 9

Which of the following is the correct way to add two vectors $$\vec{A}$$ and $$\vec{B}$$ graphically?

Accepted Answer

Place the tail of $$\vec{B} at $$the tip of $$\vec{A}$$, then draw the resultant from the tail of $$\vec{A} to $$the tip of $$\vec{B}.$$

Question 10

A measurement is recorded as $$0.00520 m. $$How many significant figures does this value have?

Accepted Answer

3

Question 11

Which of the following best describes the rule for significant figures when multiplying or dividing measured values?

Accepted Answer

The answer should have as many significant figures as the value with the fewest significant figures.

Question 12

Convert $$60$$ miles to kilometers using the conversion $$1\ \mathrm{mi} = 1.609\ \mathrm{km}. $$What is the answer with the correct number of significant figures?

Accepted Answer

$$97\ \mathrm{km}$$

Question 13

A car moves at a constant speed and covers $$40 ft in$$ $$2 s. $$What is its average speed?

Accepted Answer

$$20\ \mathrm{ft/s}$$

Question 14

Which of the following is NOT a SI base unit?

Accepted Answer

Mile (mi)

Question 15

A ball is thrown and follows a parabolic path. Which type of motion is this?

Accepted Answer

Projectile motion

Question 16

If a car's velocity changes from $$25\ \mathrm{m/s} to$$ $$20\ \mathrm{m/s} in$$ $$5$$ seconds, what is its average velocity during this interval?

Accepted Answer

$$\frac{20 + 25}{2} = 22.5\ \mathrm{m/s}$$

Question 17

Which of the following statements about vectors is correct?

Accepted Answer

Vectors can be represented by arrows whose length indicates magnitude and whose direction indicates direction.

Question 18

A measurement is recorded as $$0.430 m. $$How many significant figures does this value have?

Accepted Answer

3

Chapter 1: Motion in One Dimension – Study Notes for Physics with Algebra

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