Theory and ExamplesA particle moves along the x-axis. Its

Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

Problem 31AAE Chapter 4

Thomas' Calculus: Early Transcendentals | 13th Edition

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Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

Thomas' Calculus: Early Transcendentals | 13th Edition

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Problem 31AAE

Theory and Examples

A particle moves along the x-axis. Its acceleration is At t = 0,the particle is at the origin. In the course of its motion, it reaches the point x = b,where b>0 but no point beyond b. Determine its velocity at t = 0.

Step-by-Step Solution:

Step 1 of 3</p>

In this problem, we have to find the velocity at time .

Step 2 of 3</p>

It is given that acceleration .

So,

        

Integrate both the sides, we get

        

Since,

        

        

Again, integrate both the sides, we get

        

Step 3 of 3

Chapter 4, Problem 31AAE is Solved
Textbook: Thomas' Calculus: Early Transcendentals
Edition: 13th
Author: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass
ISBN: 9780321884077

Thomas' Calculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780321884077. Since the solution to 31AAE from 4 chapter was answered, more than 220 students have viewed the full step-by-step answer. The answer to “Theory and ExamplesA particle moves along the x-axis. Its acceleration is At t = 0,the particle is at the origin. In the course of its motion, it reaches the point x = b,where b>0 but no point beyond b. Determine its velocity at t = 0.” is broken down into a number of easy to follow steps, and 46 words. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13th. This full solution covers the following key subjects: its, point, particle, motion, beyond. This expansive textbook survival guide covers 138 chapters, and 9198 solutions. The full step-by-step solution to problem: 31AAE from chapter: 4 was answered by Sieva Kozinsky, our top Calculus solution expert on 08/01/17, 02:37PM.

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