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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 2.6, Problem 15E

To determine

**To find:** The velocity of the particle when

Expert Solution

The velocity of the particle at times

**Given:**

The displacement (in meters) of a particle moving in a straight line is *t* is measured in seconds.

**Formula used:**

The derivative

**Calculation:**

Obtain the velocity of the particle at

Take the position function

Simplify further and obtain the velocity as follows.

Cancel the common term *h* from both the numerator and the denominator,

Thus, the velocity of the particle at time

Obtain the velocity of the particle at time

Substitute

Thus, the velocity of the particle at time

Obtain the velocity of the particle at time

Substitute

Thus, the velocity of the particle at time

Obtain the velocity of the particle at time

Substitute

Thus, the velocity of the particle at time