# The velocity and the speed of a moving particle along a straight line.

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 2.6, Problem 40E
To determine

## To find:The velocity and the speed of a moving particle along a straight line.

Expert Solution

The velocity and the speed of a moving particle is 26/25 and 26/25 respectively.

### Explanation of Solution

Given: A particle moves along a straight line where time is 5 second and the equation is

f(t)=t1t

Given f(t)=t1t be any function.

The velocity is the first derivative of the position function which it found using the power rule.

v(t)=f'(t)=t21plugging in 5 for tv(5)=f'(t)=1/251=26/25

Speed is the absolute value of velocity

s(5)=|v(5)|=26/25

Hence, the velocity and the speed of a moving particle is 26/25 and 26/25 respectively.

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