Question 1

A ball is thrown vertically upward with an initial velocity of $$8.0\ \mathrm{m/s}$$ from a balcony $$2.0\ \mathrm{m}$$ above the ground. Neglecting air resistance, how long does it take for the ball to hit the ground?

Accepted Answer

$$2.23\ \mathrm{s}$$

Question 2

Which of the following statements about acceleration is correct?

Accepted Answer

An object changing direction but maintaining constant speed is accelerating.

Question 3

A car is moving eastward and slowing down. What is the direction of its acceleration vector?

Accepted Answer

Westward

Question 4

On the Moon, an astronaut drops a hammer and a feather from the same height. Which one hits the ground first?

Accepted Answer

They hit at the same time

Question 5

Which equation correctly relates the final velocity $$v of an $$object in free fall to its initial velocity $$v_0$$, acceleration $$a$$, and displacement $$y - y_0$?

Accepted Answer

$$v^2$$ = $$v_0^2 + 2a(y$$ - $$y_0$$)$$

Question 6

At the highest point in the path of keys thrown straight up, what are the velocity and acceleration?

Accepted Answer

Velocity is zero, acceleration is non-zero

Question 7

A projectile is launched at $$45^{\circ}$$ above the horizontal with a speed of $$220\ \mathrm{m/s}. $$What is the maximum height it reaches? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$1230\ \mathrm{m}$$

Question 8

A football is kicked with an initial vertical velocity of $$14\ \mathrm{m/s}$$ and a horizontal velocity of $$12\ \mathrm{m/s}. $$When the ball reaches its maximum height, what is its speed?

Accepted Answer

$$12\ \mathrm{m/s}$$

Question 9

Which of the following is true about the horizontal velocity of a projectile (neglecting air resistance)?

Accepted Answer

It remains constant throughout the flight

Question 10

A stone is thrown downward from a bridge with an initial speed of $$14.7\ \mathrm{m/s}$$ and hits the water $$2.00\ \mathrm{s}$$ later. What is the height of the bridge above the water? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$49.0\ \mathrm{m}$$

Question 11

A vector $$\vec{A}$$ has a magnitude of $$10\ \mathrm{m}$$ and points $$30^{\circ}$$ above the x-axis. What is its y-component?

Accepted Answer

$$10 \sin 30$$^{\circ}$$

Question 12

A car travels at $$15\ \mathrm{m/s} at$$ $$16^{\circ}$$ [N of E], then later at $$22\ \mathrm{m/s} at$$ $$21^{\circ}$$ [W of N]. What is the magnitude of the change in velocity?

Accepted Answer

$$28\ \mathrm{m/s}$$

Question 13

Which of the following best describes the direction of centripetal acceleration for an object in uniform circular motion?

Accepted Answer

Toward the center of the circle

Question 14

A squirrel starts at a point $$3.0\ \mathrm{m}$$ east of a house and $$5.0\ \mathrm{m}$$ north of a fence, and ends at $$4.0\ \mathrm{m}$$ east of the house and $$2.0\ \mathrm{m}$$ north of the fence. What is the displacement vector?

Accepted Answer

$$\langle 1.0\ \mathrm{m}, -3.0\ \mathrm{m} \rangle$$

Question 15

A horse on a merry-go-round travels at constant speed in a circle, taking $$20.0\ \mathrm{s} to $$complete one revolution. The circumference is $$31.4\ \mathrm{m}. $$What is the magnitude of the horse's velocity?

Accepted Answer

$$1.57\ \mathrm{m/s}$$

Question 16

Which of the following is NOT necessarily consistent with a car that is accelerating?

Accepted Answer

A car is moving with a high speed.

Question 17

A projectile is launched horizontally from a balcony $$22\ \mathrm{m}$$ above the ground with a speed of $$12\ \mathrm{m/s}. $$How far from the base of the balcony does it land?

Accepted Answer

$$25\ \mathrm{m}$$

Question 18

A rock is thrown from a castle wall $$9.5\ \mathrm{m}$$ above the ground with an initial velocity of $$12\ \mathrm{m/s} at$$ $$42^{\circ}$$ above the horizontal. What is the magnitude of its velocity just before landing?

Accepted Answer

$$181\ \mathrm{m/s}$$

Kinematics and Acceleration: Study Notes for College Physics

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