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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 3.8, Problem 7E

**(a)**

To determine

**To find: **The time duration for the particle to reach the velocity of

Expert Solution

The time duration for the particle to reach the velocity of

**Given information:**

The position function of a particle is given by,

The time duration for the particle to reach the velocity of

Simplify further,

Therefore, the time duration for the particle to reach the velocity of

**(b)**

To determine

**To find: **The time duration for the particle to reach the acceleration zero.

Expert Solution

The time duration for the particle to reach the acceleration zero is

**Given information:**

The position function of a particle is given by,

The time duration for the particle to reach the acceleration zero is calculated as,

Simplify further,

The significance at this value of

Therefore, the time duration for the particle to reach the acceleration zero is