Q: A ball is dropped from rest from a height of 1.0 m. Neglecting air resistance, how long does it take to reach the ground? (Take $$g = 9.8\ \mathrm{m/s^2$})$$

$$t = \sqrt{\frac{2h}{g}} = \sqrt{\frac{2 \times 1.0}{9.8}} = 0.45\ \mathrm{s}$$

Q: A car starts from rest and accelerates uniformly at $$2.0\ \mathrm{m/s^2$}$$ for 8.0 seconds. What is the total distance traveled by the car during this time?

$$x = v_0$ t + \frac{1}{2} a t^2$ = 0 + \frac{1}{2} \times 2.0 \times (8.0)^2$ = 64\ \mathrm{m}$$

Question 1

A motorcycle accelerates from rest to 25 m/s in 5.0 seconds on a straight, level road. What is the motorcycle's average acceleration during this interval?

Accepted Answer

$$a = \frac{v_f - v_i}{t} = \frac{25\ \mathrm{m/s} - 0\ \mathrm{m/s}}{5.0\ \mathrm{s}} = 5.0\ \mathrm{m/s^2$}$$

Question 2

A ball is dropped from rest from a height of 1.0 m. Neglecting air resistance, how long does it take to reach the ground? (Take $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$t = \sqrt{\frac{2h}{g}} = \sqrt{\frac{2 	imes 1.0}{9.8}} = 0.45\ \mathrm{s}$$

Question 3

A BB is shot straight up from a height of 50.0 m above the ground at a speed of 15.0 m/s. How long does it take the BB to reach its highest point? (Neglect air resistance, $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$t = \frac{v_0$}{g} = \frac{15.0}{9.8} = 1.53\ \mathrm{s}$$

Question 4

Which of the following best describes the acceleration of an object in free fall near the surface of the Earth (neglecting air resistance)?

Accepted Answer

The acceleration is constant and directed downward, $$a = -g$$

Question 5

A car starts from rest and accelerates uniformly at $$2.0\ \mathrm{m/s^2$}$$ for 8.0 seconds. What is the total distance traveled by the car during this time?

Accepted Answer

$$x = v_0$ t + \frac{1}{2} a t^2$ = 0 + \frac{1}{2} 	imes 2.0 	imes (8.0)^2$ = 64\ \mathrm{m}$$

Question 6

A motorcycle is traveling at 20 m/s when the rider sees a police officer and slows to rest in 4.0 seconds. What is the motorcycle's acceleration during this braking period?

Accepted Answer

$$a = \frac{v_f - v_i}{t} = \frac{0 - 20}{4.0} = -5.0\ \mathrm{m/s^2$}$$

Question 7

Which of the following equations is NOT appropriate for solving a constant acceleration problem?

Accepted Answer

$$x = x_0$ + at$$

Question 8

A ball is thrown straight up with an initial velocity of $$10\ \mathrm{m/s}. $$What is its velocity when it returns to the same height from which it was thrown? (Neglect air resistance)

Accepted Answer

$$-10\ \mathrm{m/s}$$

Question 9

The area under a velocity vs. time graph represents which physical quantity?

Accepted Answer

Displacement

Question 10

A BB is shot straight up from a height of 50.0 m above the ground at a speed of 15.0 m/s. How long does it take to hit the ground? (Neglect air resistance, $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

Solve $$y = y_0$ + v_0$ t - \frac{1}{2} g t^2$ = 0$$ for $$t$$: $$t = 5.53\ \mathrm{s}$$

Question 11

Which of the following best describes the motion of an object with a constant, nonzero acceleration along the x-direction?

Accepted Answer

Its velocity changes linearly with time.

Question 12

A car moves with a constant velocity of $$10\ \mathrm{m/s}$$ for 5 seconds. What is the acceleration of the car?

Accepted Answer

$$0\ \mathrm{m/s^2$}$$

Question 13

A student uses the P.U.K.E.S. method to solve a physics problem. What does the 'E' stand for?

Accepted Answer

Equation(s)

Question 14

A coin and a feather are dropped at the same time in a vacuum. Which statement is true?

Accepted Answer

They hit the ground at the same time.

Question 15

A car accelerates from $$5\ \mathrm{m/s} to$$ $$25\ \mathrm{m/s} in$$ $$4.0\ \mathrm{s}. $$What is the car's acceleration?

Accepted Answer

$$a = \frac{25 - 5}{4.0} = 5.0\ \mathrm{m/s^2$}$$

Physics with Calculus: Motion, Free Fall, and Graphs Study Guide

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