a. Answer The velocity is zero at t = 0 , t = 4 , t = 12 and t = 16 . Explanation Given information : The graph of the position function of a particle moving along a line is given below Calculation : Since, the slope of the tangent to the curve gives velocity. Now, if the slope is zero than the velocity is also zero. Now, from the given graph the slope is zero at approximately t = 0 , t = 4 , t = 12 and t = 16 . Therefore, the velocity is zero at approximately t = 0 , t = 4 , t = 12 and t = 16 . Hence, The velocity is zero at approximately t = 0 , t = 4 , t = 12 and t = 16 . b. To determine To find : the time at which the particle’s acceleration is zero. Answer The acceleration is zero at t = 1.5 , t = 5 , t = 8 , t = 11 and t = 13 . Explanation Given information : The graph of the position function of a particle moving along a line is given below. Calculation : The point where the concavity of the graph changes is the point where acceleration is zero. Since, the graph changes its concavity at t = 1.5 , t = 5 , t = 8 , t = 11 and t = 13 . Therefore, the acceleration is zero at t = 1.5 , t = 5 , t = 8 , t = 11 and t = 13 . Hence, The acceleration is zero at t = 1.5 , t = 5 , t = 8 , t = 11 and t = 13 .

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

4th Edition

ISBN: 9780133178579

Author: Ross L. Finney

Publisher: PEARSON

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Question

Chapter 5.3, Problem 30E

To determine

To find : the time at which the particle’s velocity is zero.

Expert Solution

Answer to Problem 30E

The velocity is zero at t=0 , t=4 , t=12 and t=16 .

Explanation of Solution

Given information :

The graph of the position function of a particle moving along a line is given below

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy), Chapter 5.3, Problem 30E , additional homework tip 1

Calculation :

Since, the slope of the tangent to the curve gives velocity. Now, if the slope is zero than the velocity is also zero.

Now, from the given graph the slope is zero at approximately t=0 , t=4 , t=12 and t=16 .

Therefore, the velocity is zero at approximately t=0 , t=4 , t=12 and t=16 .

Hence,

The velocity is zero at approximately t=0 , t=4 , t=12 and t=16 .

To determine

To find : the time at which the particle’s acceleration is zero.

Expert Solution

Answer to Problem 30E

The acceleration is zero at t=1.5 , t=5 , t=8 , t=11 and t=13 .

Explanation of Solution

Given information :

The graph of the position function of a particle moving along a line is given below.

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy), Chapter 5.3, Problem 30E , additional homework tip 2

Calculation :

The point where the concavity of the graph changes is the point where acceleration is zero.

Since, the graph changes its concavity at t=1.5 , t=5 , t=8 , t=11 and t=13 .

Therefore, the acceleration is zero at t=1.5 , t=5 , t=8 , t=11 and t=13 .

Hence,

The acceleration is zero at t=1.5 , t=5 , t=8 , t=11 and t=13 .

Chapter 5.3, Problem 29E

Chapter 5.3, Problem 31E

Chapter 5 Solutions

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

Ch. 5.1 - Prob. 1QR Ch. 5.1 - Prob. 2QR Ch. 5.1 - Prob. 3QR Ch. 5.1 - Prob. 4QR Ch. 5.1 - Prob. 5QR Ch. 5.1 - Prob. 6QR Ch. 5.1 - Prob. 7QR Ch. 5.1 - Prob. 8QR Ch. 5.1 - Prob. 9QR Ch. 5.1 - Prob. 10QR

Ch. 5.1 - Prob. 11QR Ch. 5.1 - Prob. 12QR Ch. 5.1 - Prob. 1E Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E Ch. 5.1 - Prob. 6E Ch. 5.1 - Prob. 7E Ch. 5.1 - Prob. 8E Ch. 5.1 - Prob. 9E Ch. 5.1 - Prob. 10E Ch. 5.1 - Prob. 11E Ch. 5.1 - Prob. 12E Ch. 5.1 - Prob. 13E Ch. 5.1 - Prob. 14E Ch. 5.1 - Prob. 15E Ch. 5.1 - Prob. 16E Ch. 5.1 - Prob. 17E Ch. 5.1 - Prob. 18E Ch. 5.1 - Prob. 19E Ch. 5.1 - Prob. 20E Ch. 5.1 - Prob. 21E Ch. 5.1 - Prob. 22E Ch. 5.1 - Prob. 23E Ch. 5.1 - Prob. 24E Ch. 5.1 - Prob. 25E Ch. 5.1 - Prob. 26E Ch. 5.1 - Prob. 27E Ch. 5.1 - Prob. 28E Ch. 5.1 - Prob. 29E Ch. 5.1 - Prob. 30E Ch. 5.1 - Prob. 31E Ch. 5.1 - Prob. 32E Ch. 5.1 - Prob. 33E Ch. 5.1 - Prob. 34E Ch. 5.1 - Prob. 35E Ch. 5.1 - Prob. 36E Ch. 5.1 - Prob. 37E Ch. 5.1 - Prob. 38E Ch. 5.1 - Prob. 39E Ch. 5.1 - Prob. 40E Ch. 5.1 - Prob. 41E Ch. 5.1 - Prob. 42E Ch. 5.1 - Prob. 43E Ch. 5.1 - Prob. 44E Ch. 5.1 - Prob. 45E Ch. 5.1 - Prob. 46E Ch. 5.1 - Prob. 47E Ch. 5.1 - Prob. 48E Ch. 5.1 - 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