Question 1

A car travels east at a constant velocity of $$20\ \mathrm{m/s}$$ for $$30\ \mathrm{s}$$, then turns north and travels at $$15\ \mathrm{m/s}$$ for $$40\ \mathrm{s}. $$What is the magnitude of the car's displacement from its starting point?

Accepted Answer

$$1000\ \mathrm{m}$$

Question 2

Which of the following correctly converts $$0.005\ \mathrm{km} to $$millimeters ($$\mathrm{mm}$$)?

Accepted Answer

$$5000\ \mathrm{mm}$$

Question 3

A projectile is launched at an angle of $$30^\circ$$ above the horizontal with an initial speed of $$40\ \mathrm{m/s}. $$What is the initial vertical component of its velocity?

Accepted Answer

$$40 \sin 30^\circ = 20\ \mathrm{m/s}$$

Question 4

Which of the following is the correct scientific notation for $$0.000456$$?

Accepted Answer

$$4.56 	imes 10$$^{-4}$$

Question 5

A runner accelerates uniformly from rest to $$8\ \mathrm{m/s} in$$ $$4\ \mathrm{s}. $$What is the runner's average acceleration?

Accepted Answer

$$2\ \mathrm{m/s^2$}$$

Question 6

Which statement best describes the difference between average velocity and instantaneous velocity?

Accepted Answer

Average velocity is the total displacement divided by total time, while instantaneous velocity is the velocity at a specific instant.

Question 7

A ball is thrown vertically upward with an initial velocity of $$15\ \mathrm{m/s}. $$Neglecting air resistance, what is the maximum height reached by the ball?

Accepted Answer

$$11.25\ \mathrm{m}$$

Question 8

Which of the following is NOT a correct SI unit conversion?

Accepted Answer

$$1\ \mathrm{mm} = 0.1\ \mathrm{cm}$$

Question 9

A cyclist moves in a circle of radius $$10\ \mathrm{m} at a $$constant speed of $$5\ \mathrm{m/s}. $$What is the magnitude of the cyclist's centripetal acceleration?

Accepted Answer

$$2.5\ \mathrm{m/s^2$}$$

Question 10

A vector has components $$A_x = 6$$ and $$A_y = 8. $$What is the magnitude of the vector?

Accepted Answer

$$10$$

Question 11

A stone is dropped from a cliff and hits the ground after $$3\ \mathrm{s}. $$What is the height of the cliff? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$44.1\ \mathrm{m}$$

Question 12

Which of the following best describes the direction of acceleration for an object moving in a circle at constant speed?

Accepted Answer

Radially inward toward the center

Question 13

A car starts from rest and accelerates at $$3\ \mathrm{m/s^2$}$$ for $$5\ \mathrm{s}. $$What is its final velocity?

Accepted Answer

$$15\ \mathrm{m/s}$$

Question 14

Which of the following is the correct formula for average acceleration?

Accepted Answer

$$a_{avg} = \frac{\Delta v}{\Delta t}$$

Question 15

A projectile is launched horizontally from a $$20\ \mathrm{m}$$ high cliff. How long does it take to hit the ground? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$2.02\ \mathrm{s}$$

Question 16

Which of the following is a vector quantity?

Accepted Answer

Displacement

Question 17

A car moves with a constant acceleration. Which graph best represents its velocity versus time?

Accepted Answer

A straight line with positive slope

Question 18

A ball is thrown horizontally from a $$45\ \mathrm{m}$$ high building with a speed of $$10\ \mathrm{m/s}. $$How far from the base of the building does the ball land? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$30.2\ \mathrm{m}$$

Question 19

Which of the following is the correct expression for the position vector in two dimensions?

Accepted Answer

$$\vec{r} = x\hat{i} + y\hat{j}$$

Exam #1 Review: Fundamentals of Linear and Two-Dimensional Motion in Physics

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