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Maximum distance An object moves on a line with velocity

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 45E Chapter 7.7

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 45E

Maximum distance An object moves on a line with velocity \(v(t)=10 /(t+1)^{2}\) mi/hr for \(t \geq 0\). What is the maximum distance the object can travel?

Step-by-Step Solution:
Step 1 of 3

Problem 45E

Maximum distance An object moves on a line with velocity v(t)= 10/(t + l)2 mi/hr for t ≥ 0. What is the maximum distance the object can travel?

Solution

Here v=

Velocity is nothing but change in distance with respect to time

So to find the maximum distance we integrate on both sides 

         

To find the maximum distance we equate   it to zero

We get

Thus at t=9 mi we get maximum distance

Step 2 of 3

Chapter 7.7, Problem 45E is Solved
Step 3 of 3

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Since the solution to 45E from 7.7 chapter was answered, more than 400 students have viewed the full step-by-step answer. The answer to “?Maximum distance An object moves on a line with velocity \(v(t)=10 /(t+1)^{2}\) mi/hr for \(t \geq 0\). What is the maximum distance the object can travel?” is broken down into a number of easy to follow steps, and 26 words. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This full solution covers the following key subjects: distance, Object, maximum, moves, line. This expansive textbook survival guide covers 112 chapters, and 7700 solutions. The full step-by-step solution to problem: 45E from chapter: 7.7 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM.

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