Q: Convert $$27\ \mathrm{cm}^2 to$$ $$\mathrm{m}^2.$$

$$2.7 \times 10$$^{-4}$$\ \mathrm{m}^2$$

Q: Estimate the mass of a typical smart phone in kg.

$$0.2\text{ to }0.25\ \mathrm{kg}$$

Question 1

A car travels 60 miles east in 2 hours. What is the average velocity of the car in m/s?

Accepted Answer

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

Question 2

Convert $$27\ \mathrm{cm}^2 to$$ $$\mathrm{m}^2.$$

Accepted Answer

$$2.7 	imes 10$$^{-4}$$\ \mathrm{m}^2$$

Question 3

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

Accepted Answer

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

Question 4

A particle moves in 1D with data at $$t_1 = 15$ miles after undergoing a displacement of $$\Delta x = -33$$ miles. What is the starting position, x_0$, of the car?

Accepted Answer

$$x_0 = 48$$\ \mathrm{miles}$$

Question 5

A helicopter is moving perfectly 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 was dropped until it hits the ground? (Ignore air resistance.)

Accepted Answer

$$200\ \mathrm{m}$$

Question 6

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

Accepted Answer

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

Question 7

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 8

A ball is kicked from ground level, leaving the ground with a speed of $$15\ \mathrm{m/s} at an $$angle of $$36^{\circ}$$ above the ground. The ball hits a wall that is $$20\ \mathrm{m}$$ away, measured along the ground. At what height above the ground does the ball hit the wall? (Ignore air resistance.)

Accepted Answer

$$4.1\ \mathrm{m}$$

Question 9

A pilot is flying in circles of radius $$200\ \mathrm{m} at a $$constant speed of $$90\ \mathrm{m/s}. $$What is the centripetal acceleration of the pilot?

Accepted Answer

$$40.5\ \mathrm{m/s}^2$$

Question 10

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

Accepted Answer

$$x = 7.7\ \mathrm{m/s},\ y = 6.4\ \mathrm{m/s}$$

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

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

Accepted Answer

Northeast

Question 13

A satellite is moving at a constant speed in a circular orbit. Which of the following is a true statement about the motion?

Accepted Answer

The velocity is changing

Question 14

A ball is thrown straight up into the air. After it leaves your hand, at what point in its flight does it have the maximum value of acceleration? Assume air-drag is negligible.

Accepted Answer

The acceleration is constant over the whole flight

Question 15

A car is moving to the right at a speed of $$20\ \mathrm{m/s}. $$Five seconds later the car is moving to the left at $$30\ \mathrm{m/s}. $$What is the magnitude of the car’s average acceleration?

Accepted Answer

$$4\ \mathrm{m/s}^2$$

Question 16

Estimate the mass of a typical smart phone in kg.

Accepted Answer

$$0.2	ext{ to }0.25\ \mathrm{kg}$$

Question 17

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 18

A motion diagram shows an object with equally spaced dots along a straight line. Which of the following is true about the object’s motion?

Accepted Answer

The object is moving at constant speed

Question 19

A collegiate athlete travels once around a $$400\ \mathrm{m}$$ track, taking $$50.42$$ seconds. What is their average speed? What is their average velocity?

Accepted Answer

Average speed: $$7.94\ \mathrm{m/s}$$, average velocity: $$0\ \mathrm{m/s}$$

Physics Exam 1 Study Guide: Units, Motion, Vectors, and Problem Solving

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