Question 1

A car travels 60 miles in 2 hours. What is the average speed of the car in meters per second ($$\mathrm{m/s}$$)? (1 mile = 1609 m)

Accepted Answer

$$13.4\ \mathrm{m/s}$$

Question 2

A ball is dropped from rest at the top of a tall building. Assuming no air resistance, what is the speed of the object 2 seconds after it is dropped? ($$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$19.6\ \mathrm{m/s}$$

Question 3

A helicopter is moving horizontally at $$40\ \mathrm{m/s}$$ when a package is dropped. If the package takes $$5$$ seconds to hit the ground, how far has the package moved horizontally from the time it is dropped until it hits the ground? (Ignore air resistance.)

Accepted Answer

$$200\ \mathrm{m}$$

Question 4

Convert $$250\ \mathrm{cm^2$} to$$ $$\mathrm{m^2$}.$$

Accepted Answer

$$0.0250\ \mathrm{m^2$}$$

Question 5

A car is moving at $$30\ \mathrm{m/s}$$ when the driver sees a deer on the road and slams on the brakes. The car uniformly decelerates from $$30\ \mathrm{m/s} to $$rest in a stopping distance of $$120\ \mathrm{m}. $$What is the magnitude of the car’s acceleration during this braking period?

Accepted Answer

$$3.75\ \mathrm{m/s^2$}$$

Question 6

A ball is kicked from ground level, leaving the ground with a speed of $$15\ \mathrm{m/s} at an $$angle of $$30^\circ$$ above the ground. What is the initial vertical component of the ball’s velocity?

Accepted Answer

$$7.5\ \mathrm{m/s}$$

Question 7

Which of the following statements about an object moving along the x-axis with a velocity of $$-2\ \mathrm{m/s} is $$correct?

Accepted Answer

It travels $$2\ \mathrm{m} in $$the negative direction every second.

Question 8

A student throws a ball straight up into the air. At what point in its flight does it have the maximum value of acceleration? Assume air-drag is negligible.

Accepted Answer

Its acceleration is constant over the whole flight.

Question 9

A pilot is flying in circles of radius $$200\ \mathrm{m} at a $$constant speed of $$900\ \mathrm{m/s}. $$What is the centripetal acceleration of the pilot?

Accepted Answer

$$4050\ \mathrm{m/s^2$}$$

Question 10

A vector $$\vec{A}$$ has a magnitude of $$10\ \mathrm{m}$$ and is at an angle of $$40^\circ$$ above the x-axis. What are the x and y components of $$\vec{A}$$?

Accepted Answer

$$A_x = 7.66\ \mathrm{m},\ A_y = 6.43\ \mathrm{m}$$

Question 11

A cart moving in 1D is slowing down uniformly while moving away from the origin. What does the acceleration vs. time graph look like?

Accepted Answer

A horizontal line below the time axis.

Question 12

Estimate the mass of a typical smart phone in kilograms.

Accepted Answer

$$0.75\ \mathrm{kg}$$

Question 13

A ball is dropped from a building. Which of the following motion diagrams best represents its motion?

Accepted Answer

Equally spaced dots getting farther apart as it falls.

Question 14

A car is moving East down the highway at $$66\ \mathrm{mph}$$ for $$56$$ seconds. What is the total distance traveled in meters? ($$1\ \mathrm{mile} = 1609\ \mathrm{m})$$

Accepted Answer

$$1659\ \mathrm{m}$$

Question 15

Which of the following is the correct scientific notation for $$0.000225$$?

Accepted Answer

$$2.25 	imes 10$$^{-4}$$

Question 16

A student walks $$3$$ miles due east, then another $$8$$ miles at an angle $$35^\circ$$ above due East, and then walks $$2$$ miles due West. What is the total displacement from the starting point?

Accepted Answer

$$9.6\ \mathrm{miles}$$

Question 17

A smooth ramp has a length of $$3\ \mathrm{m}$$ and is at an angle of $$30^\circ$$ above the ground. A smooth box is placed at the top of the ramp and released. How long does it take for the box to slide to the ground? ($$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$1.4\ \mathrm{s}$$

Question 18

Which of the following is the correct direction for $$\vec{A} + \vec{B} if$$ $$\vec{A}$$ points north and $$\vec{B}$$ points east?

Accepted Answer

Northeast

Question 19

A particle confined to moving in 1D starts at $$x = 14\ \mathrm{m}$$ and walks in the positive direction, arriving at $$x = 22\ \mathrm{m}. $$The particle then reverses direction and moves to $$x = -20\ \mathrm{m}. $$What distance does the particle travel? What is the particle’s displacement?

Accepted Answer

Distance: $$48\ \mathrm{m}$$, Displacement: $$-6\ \mathrm{m}$$

Physics Exam 1 Study Guide: Units, Kinematics, Vectors, and Motion Problems

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