Question 1

Which of the following is NOT a fundamental quantity in the International System (SI) of units?

Accepted Answer

Temperature

Question 2

A train accident occurred due to a small percent error in a measurement. Which concept does this best illustrate?

Accepted Answer

The necessity of significant figures and uncertainty in measurements

Question 3

A runner completes a 400 m lap in 50 s, ending at the starting point. What is the runner’s average velocity?

Accepted Answer

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

Question 4

Which of the following equations is dimensionally consistent for velocity $$v$$, displacement $$x$$, and time $$t$$?

Accepted Answer

$$v = \dfrac{x}{t}$$

Question 5

A vector $$\vec{A}$$ has components $$A_x = 3$$ and $$A_y = 4. $$What is the magnitude of $$\vec{A}$$?

Accepted Answer

$$5$$

Question 6

Which of the following statements about vector addition is correct?

Accepted Answer

The sum of two vectors is independent of the order in which they are added.

Question 7

A projectile is launched horizontally from a cliff. Which statement is true about its motion (neglecting air resistance)?

Accepted Answer

The horizontal velocity remains constant while the vertical velocity increases in magnitude.

Question 8

Given vectors $$\vec{A} = 2\hat{i} + 3\hat{j}$$ and $$\vec{B} = -\hat{i} + 4\hat{j}$$, what is $$\vec{A} \cdot \vec{B}$$?

Accepted Answer

$$8$$

Question 9

A car accelerates from rest at $$2\ \mathrm{m/s^2$}$$ for $$5\ \mathrm{s}. $$What is its final velocity?

Accepted Answer

$$10\ \mathrm{m/s}$$

Question 10

Which of the following best describes the direction of the acceleration vector for a particle in uniform circular motion?

Accepted Answer

Perpendicular to the velocity and toward the center of the circle

Question 11

A ball is thrown straight up with an initial velocity of $$15\ \mathrm{m/s}. $$What is its velocity at the highest point?

Accepted Answer

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

Question 12

Which of the following is the correct formula for the scalar (dot) product of two vectors $$\vec{A}$$ and $$\vec{B}$$?

Accepted Answer

$$\vec{A} \cdot \vec{B} = AB \cos \phi$$

Question 13

A vector $$\vec{A} is $$multiplied by a negative scalar $$-3. $$What happens to the resulting vector?

Accepted Answer

It has three times the magnitude and points in the opposite direction.

Question 14

A car moves with velocity $$\vec{v}_1 = 20\ \mathrm{m/s}$$ east relative to the ground. A passenger walks with velocity $$\vec{v}_2 = 2\ \mathrm{m/s}$$ north relative to the car. What is the passenger’s velocity relative to the ground?

Accepted Answer

$$\sqrt{20^2$ + 2^2$}\ \mathrm{m/s}$$,\ \approx 20.1\ \mathrm{m/s}$ northeast

Question 15

Which of the following is true about the components of a vector?

Accepted Answer

They can be positive or negative depending on the direction of the vector.

Question 16

A projectile is launched at an angle $$	heta$$ with initial speed $$v_0. $$What is the initial vertical component of velocity?

Accepted Answer

$$v_0$$ \sin 	heta$$

Question 17

Which of the following is the correct expression for the magnitude of the resultant vector $$\vec{R}$$ given components $$R_x$$ and $$R_y$$?

Accepted Answer

$$R = \sqrt{R_x^2$ + R_y^2$}$$

Question 18

If two vectors are perpendicular, what is their scalar (dot) product?

Accepted Answer

$$0$$

Question 19

A car travels 3.0 km east, then 4.0 km north. What is the magnitude of its displacement?

Accepted Answer

$$5.0\ \mathrm{km}$$

Question 20

Which of the following is true about the vector (cross) product $$\vec{A} 	imes \vec{B}$$?

Accepted Answer

It is a vector perpendicular to both $$\vec{A}$$ and $$\vec{B}.$$

Units, Physical Quantities, and Vectors: Foundations of Physics with Calculus

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