Question 1

Which of the following equations correctly describes the position $$x of an $$object under constant acceleration $$a_x$$ starting from initial position $$x_0$$ and initial velocity $$v_{0x}$$?

Accepted Answer

$$x = x_0$ + v_{0x} t + \frac{1}{2} a_x t^2$

Question 2

A ball is thrown straight up with an initial velocity of $$20\ \mathrm{m/s}$$ from the top of an $$80\ \mathrm{m}$$ building. Neglecting air resistance and using $$g = 10\ \mathrm{m/s^2$}$$, what is the time taken to reach the highest point?

Accepted Answer

$$2\ \mathrm{s}$$

Question 3

Which graph best represents the position $$x$$ versus time $$t$$ for an object under constant acceleration?

Accepted Answer

A parabolic curve

Question 4

For an object in free fall, what is the value and direction of its acceleration in the absence of air resistance?

Accepted Answer

$$a_y = -9.8\ \mathrm{m/s^2$}$$, downward

Question 5

Which equation would you use to find the final velocity $$v_x of an $$object after time $$t if it $$starts with initial velocity $$v_{0x}$$ and constant acceleration $$a_x$$?

Accepted Answer

$$v_x = v_{0x} + a_x t$$

Question 6

A rock is dropped from rest from a cliff. How long does it take to reach the ground $$45\ \mathrm{m}$$ below? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$3.03\ \mathrm{s}$$

Question 7

Which of the following statements about free fall is correct?

Accepted Answer

All objects fall with the same acceleration regardless of their mass, if air resistance is neglected.

Question 8

Given $$v_x^2$ = v_{0x}^2 + 2a_x(x - x_0$)$$, what is the final velocity $$v_x of an $$object that starts from rest and travels $$50\ \mathrm{m}$$ under a constant acceleration of $$4\ \mathrm{m/s^2$}$$?

Accepted Answer

$$20\ \mathrm{m/s}$$

Question 9

If $$a_x is $$constant and $$v_{0x} = 0$$, which equation gives the displacement $$x - x_0$ after time t$?

Accepted Answer

$$x - x_0$ = \frac{1}{2} a_x t^2$

Question 10

A student throws a ball straight up from the ground with an initial velocity of $$15\ \mathrm{m/s}. $$What is the maximum height reached by the ball? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$11.5\ \mathrm{m}$$

Question 11

Which of the following is the correct definition of acceleration in terms of velocity and time?

Accepted Answer

$$a_x = \frac{dv_x}{dt}$$

Question 12

A car accelerates from $$5\ \mathrm{m/s} to$$ $$25\ \mathrm{m/s} in$$ $$4\ \mathrm{s}. $$What is its acceleration?

Accepted Answer

$$5\ \mathrm{m/s^2$}$$

Question 13

Which equation would you use to find the displacement $$y - y_0$ of an object in free fall after time t$, starting with initial velocity v$$_{0y}$$?

Accepted Answer

$$y = y_0$ + v_{0y} t - \frac{1}{2} g t^2$

Question 14

A ball is thrown downward from a height of $$30\ \mathrm{m}$$ with an initial velocity of $$5\ \mathrm{m/s}. $$What is its velocity just before hitting the ground? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$27.6\ \mathrm{m/s}$$

Question 15

Which of the following is NOT a step in the recommended litany for solving kinematics problems?

Accepted Answer

Guess the answer based on intuition

Question 16

If an object starts from rest and accelerates at $$3\ \mathrm{m/s^2$}$$ for $$6\ \mathrm{s}$$, what is its final velocity?

Accepted Answer

$$18\ \mathrm{m/s}$$

Question 17

A person drops two objects of different masses from the same height in a vacuum. What happens?

Accepted Answer

Both objects hit the ground at the same time.

Question 18

Which equation is most useful for finding the final velocity of an object when you know its initial velocity, acceleration, and displacement, but not the time?

Accepted Answer

$$v_x^2$ = v_{0x}^2 + 2a_x(x - x_0$)$$

Question 19

A ball is thrown upward from the edge of a $$50\ \mathrm{m}$$ tall building with an initial velocity of $$10\ \mathrm{m/s}. $$What is the velocity of the ball just before it hits the ground? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$32.3\ \mathrm{m/s}$$

Motion in One Dimension: Kinematics, Constant Acceleration, and Free Fall

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