Book edition 9th Edition

Author(s) Raymond A. Serway, John W. Jewett

Pages 1624 pages

ISBN 9781133947271

Answers without the blur.

Just sign up for free and you're in.

Short Answer

A racing car starts from rest at $t = 0$ and reaches a final speed $v$ at time t . If the acceleration of the car is constant during this time, which of the following statements are true?
(a) The car travels a distance $v t$ .
(b) The average speed of the car is $v / 2$ .
(c) The magnitude of the acceleration of the car is $v / t$ .
(d) The velocity of the car remains constant.
(e) None of statements (a) through (d) is true.

Hence, options (b) and (c) are correct.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given value in the question

The acceleration of the car in the initial state is, $v_{0} = 0 m/s$ ,

Final speed of the car $= v$

The expression used to calculate the acceleration of the car is given below.

role="math" localid="1663735439132" $a = \frac{v - v_{0}}{Δ t}$

Step 2: Substitution of the values in the expression

Put the given value in the expression is:

$a = \frac{v - 0 m / s}{t} = \frac{v}{t}$

So, option (C) is correct.

The displacement of the car to use the following kinetic equation will be

$v^{2} = v_{0}^{2} + 2 a x$

The above equation will be rearranged for x ,that is

$x = \frac{v^{2} - v_{0}^{2}}{2 a} x = \frac{v^{2} - {(0 m/s)}^{2}}{2 (\frac{v}{t})} = \frac{v t}{2}$

Step 3: Determining the value of average speed

The average speed of the car is:

$v_{a v g} = \frac{x}{t} = \frac{v t}{2 t} = \frac{v}{2}$

So, option (b) is correct.

Find Study Materials for

Create Study Materials

Select your language

Physics For Scientists & Engineers

Answers without the blur.

Short Answer

Step by Step Solution

Step 1: Given value in the question

Step 2: Substitution of the values in the expression

Step 3: Determining the value of average speed

Most popular questions for Physics Textbooks

Want to see more solutions like these?

Recommended explanations on Physics Textbooks

Select your language

Physics For Scientists & Engineers

Answers without the blur.

Short Answer

Step by Step Solution

Step 1: Given value in the question

Step 2: Substitution of the values in the expression

Step 3: Determining the value of average speed

Most popular questions for Physics Textbooks

Want to see more solutions like these?

Recommended explanations on Physics Textbooks

Work Energy and Power

Radiation

Astrophysics

Physics of Motion

Scientific Method Physics

Fluids

Torque and Rotational Motion

Nuclear Physics

Fields in Physics

Measurements

Space Physics

Electricity

Physical Quantities and Units

Medical Physics

Electrostatics

Further Mechanics and Thermal Physics

Mechanics and Materials

Engineering Physics

Energy Physics

Force

Particle Model of Matter

Waves Physics

Magnetism

Modern Physics

Atoms and Radioactivity

Dynamics

Electricity and Magnetism

Conservation of Energy and Momentum

Fundamentals of Physics

Kinematics Physics

Circular Motion and Gravitation

Linear Momentum

Rotational Dynamics

Oscillations

Translational Dynamics

Geometrical and Physical Optics

Thermodynamics

Magnetism and Electromagnetic Induction

Electromagnetism

Electric Charge Field and Potential

Turning Points in Physics