Q: Which of the following is the correct way to express $$0.0000075\ \mathrm{m} in $$scientific notation with two significant figures?

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

Q: A student walks $$90\ \mathrm{m}$$ east and then $$50\ \mathrm{m}$$ north. What is the angle of her displacement vector north of east?

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

Question 1

A car travels from position $$x = 10\ \mathrm{m} to$$ $$x = -20\ \mathrm{m} in$$ $$5\ \mathrm{s}. $$What is the car's average velocity during this interval?

Accepted Answer

$$-6\ \mathrm{m/s}$$

Question 2

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

Accepted Answer

Speed is a scalar and velocity is a vector.

Question 3

A runner moves $$100\ \mathrm{m}$$ east, then $$60\ \mathrm{m}$$ north. What is the magnitude of the runner's displacement?

Accepted Answer

$$\sqrt{100^2$ + 60^2$}\ \mathrm{m} = 116\ \mathrm{m}$$

Question 4

Which of the following is NOT an SI base unit?

Accepted Answer

Pound (lb)

Question 5

A measurement is recorded as $$0.00450\ \mathrm{m}. $$How many significant figures does this value have?

Accepted Answer

3

Question 6

A train travels $$12\ \mathrm{km} in$$ $$10\ \mathrm{min}. $$How long will it take to travel $$60\ \mathrm{km} at $$the same speed?

Accepted Answer

$$50\ \mathrm{min}$$

Question 7

Which of the following best describes a vector quantity?

Accepted Answer

A quantity with both magnitude and direction.

Question 8

If $$y is $$proportional to $$x$$, and $$x is $$doubled, what happens to $$y$$?

Accepted Answer

$$y is $$doubled.

Question 9

A velocity-versus-time graph for an object moving with constant velocity is:

Accepted Answer

A horizontal straight line.

Question 10

A car accelerates from rest so that its velocity increases linearly from $$0 to$$ $$12\ \mathrm{m/s} in$$ $$3\ \mathrm{s}. $$What is the displacement during this time?

Accepted Answer

$$18\ \mathrm{m}$$

Question 11

Which of the following is the correct way to express $$0.0000075\ \mathrm{m} in $$scientific notation with two significant figures?

Accepted Answer

$$7.5 	imes 10$$^{-6}$$\ \mathrm{m}$$

Question 12

A student walks $$90\ \mathrm{m}$$ east and then $$50\ \mathrm{m}$$ north. What is the angle of her displacement vector north of east?

Accepted Answer

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

Question 13

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

Accepted Answer

Temperature

Question 14

The area under a velocity-versus-time graph represents:

Accepted Answer

Displacement

Question 15

A cyclist rides $$30\ \mathrm{km} at$$ $$10\ \mathrm{km/h}$$, then $$20\ \mathrm{km} at$$ $$20\ \mathrm{km/h}. $$What is the total time for the trip?

Accepted Answer

$$4\ \mathrm{h}$$

Question 16

Which of the following best describes uniform motion?

Accepted Answer

Motion with constant velocity.

Question 17

If a position-versus-time graph is a straight line with a negative slope, what does this indicate about the object's motion?

Accepted Answer

The object is moving with constant negative velocity.

Question 18

A measurement is recorded as $$6.370000 	imes 10^6$\ \mathrm{m}. $$How many significant figures does this value have?

Accepted Answer

7

Question 19

Which of the following is the correct equation for uniform motion?

Accepted Answer

$$x_f = x_i + v_x \Delta t$$

Question 20

A car moves with a velocity of $$20\ \mathrm{m/s}$$ for $$5\ \mathrm{s}$$, then $$-10\ \mathrm{m/s}$$ for $$2\ \mathrm{s}. $$What is the total displacement?

Accepted Answer

$$80\ \mathrm{m}$$

Physics with Calculus: Motion, Vectors, and Measurement Fundamentals

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