Chapter 2.3, Problem 63E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

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The equation of motion of a particle is
*s *is in meters and *t* is in seconds. Find

(a) the velocity and acceleration as functions of *t,*

(b) the acceleration after 2 s, and

(c) the acceleration when the velocity is 0.

To determine

**To find:**

(a) The velocity and acceleration as functions of t

(b) The acceleration after 2 s

(c) The acceleration when the velocity is 0

Explanation

**Formula:**

where s(t) is displacement as a function of time.

Constant function rule:

Power function rule:

Constant multiple rule:

Difference rule:

**Given:**

The equation of motion of particle is

**Calculation:**

(a)

By difference rule,

By power function rule and constant multiple rule,

Therefore,

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