Q: A car travels east for 120 km in 2 hours. What is the average velocity of the car?

$$v_{ave} = \frac{120\ \text{km}}{2\ \text{h}} = 60\ \text{km/h}$$

Q: A runner starts at $$x_0 = 5$$\ \text{m}$$ and runs with a constant velocity of 3$$\ \text{m/s}$$ for 4$$\ \text{s}$$. What is the runner's final position?

$$x = x_0$ + v_{ave} t = 5 + 3 \times 4 = 17\ \text{m}$$

Q: Convert 5.0 miles to kilometers. (1 mile = 1.609 km)

$$5.0\ \text{miles} \times 1.609\ \text{km/mile} = 8.0\ \text{km}$$

Q: A student measures the sides of a right triangle as $$a = 3.0\ \text{cm}$$ and $$b = 4.0\ \text{cm}. $$What is the length of the hypotenuse $$c$$?

$$c = \sqrt{a^2$ + b^2$} = \sqrt{3.0^2$ + 4.0^2$} = 5.0\ \text{cm}$$

Q: A cyclist travels at a constant velocity of $$10\ \text{m/s}$$ for $$90\ \text{s}. $$What is the total displacement?

$$\Delta x = v_{ave} t = 10 \times 90 = 900\ \text{m}$$

Q: Which of the following is the correct dimensional analysis for converting 3600 seconds to hours?

$$3600\ \text{s} \times \frac{1\ \text{hr}}{3600\ \text{s}} = 1\ \text{hr}$$

Q: A velocity vs. time graph shows a horizontal line at $$v = 5\ \text{m/s}$$ from $$t = 0 to$$ $$t = 8\ \text{s}. $$What is the area under the curve, and what does it represent?

Area $$= 5 \times 8 = 40\ \text{m}$$, which represents the displacement.

Question 1

A car travels east for 120 km in 2 hours. What is the average velocity of the car?

Accepted Answer

$$v_{ave} = \frac{120\ 	ext{km}}{2\ 	ext{h}} = 60\ 	ext{km/h}$$

Question 2

Which of the following correctly expresses 0.00056 in scientific notation with the correct number of significant figures?

Accepted Answer

$$5.6 	imes 10$$^{-4}$$

Question 3

A runner starts at $$x_0 = 5$$\ 	ext{m}$$ and runs with a constant velocity of 3$$\ 	ext{m/s}$$ for 4$$\ 	ext{s}$$. What is the runner's final position?

Accepted Answer

$$x = x_0$ + v_{ave} t = 5 + 3 	imes 4 = 17\ 	ext{m}$$

Question 4

Convert 5.0 miles to kilometers. (1 mile = 1.609 km)

Accepted Answer

$$5.0\ 	ext{miles} 	imes 1.609\ 	ext{km/mile} = 8.0\ 	ext{km}$$

Question 5

Which equation would you use to find the displacement of an object moving in one dimension with constant velocity?

Accepted Answer

$$\Delta x = x_{final} - x_{initial}$$

Question 6

A student measures the sides of a right triangle as $$a = 3.0\ 	ext{cm}$$ and $$b = 4.0\ 	ext{cm}. $$What is the length of the hypotenuse $$c$$?

Accepted Answer

$$c = \sqrt{a^2$ + b^2$} = \sqrt{3.0^2$ + 4.0^2$} = 5.0\ 	ext{cm}$$

Question 7

If the position vs. time graph of an object is a straight line with a positive slope, what does this indicate about the object's motion?

Accepted Answer

The object is moving with constant positive velocity.

Question 8

A cyclist travels at a constant velocity of $$10\ 	ext{m/s}$$ for $$90\ 	ext{s}. $$What is the total displacement?

Accepted Answer

$$\Delta x = v_{ave} t = 10 	imes 90 = 900\ 	ext{m}$$

Question 9

Which of the following is the correct dimensional analysis for converting 3600 seconds to hours?

Accepted Answer

$$3600\ 	ext{s} 	imes \frac{1\ 	ext{hr}}{3600\ 	ext{s}} = 1\ 	ext{hr}$$

Question 10

A velocity vs. time graph shows a horizontal line at $$v = 5\ 	ext{m/s}$$ from $$t = 0 to$$ $$t = 8\ 	ext{s}. $$What is the area under the curve, and what does it represent?

Accepted Answer

Area $$= 5 	imes 8 = 40\ 	ext{m}$$, which represents the displacement.

Question 11

Which of the following best describes the meaning of significant figures in a measurement?

Accepted Answer

They indicate the precision of a measured or calculated quantity.

Question 12

A student records a measurement as $$0.04050 kg. $$How many significant figures does this value have?

Accepted Answer

5

Question 13

A train moves from $$x_{initial} = 200\ 	ext{m} to$$ $$x_{final} = 950\ 	ext{m} in$$ $$15\ 	ext{s}. $$What is its average velocity?

Accepted Answer

$$v_{ave} = \frac{950 - 200}{15} = 50\ 	ext{m/s}$$

Question 14

Which of the following is NOT a base SI unit?

Accepted Answer

Newton (N)

Question 15

A student walks 30 meters north, then 40 meters east. What is the straight-line distance from the starting point?

Accepted Answer

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

Question 16

Which of the following is the correct way to express the equation for position as a function of time for constant velocity?

Accepted Answer

$$x = x_0$ + v_{ave} t$$

Physics with Algebra: Introductory Concepts and 1D Motion

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