# The velocity of the stone after 3 s . ### 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 3.8, Problem 9E

(a)

To determine

## To find: The velocity of the stone after 3 s .

Expert Solution

The velocity of the stone after 3s is 5.02m/s .

### Explanation of Solution

Given information:

The height function of the stone is given by,

h=10t0.83t2

The velocity of the stone after 3s is calculated as,

h=10t0.83t2dhdt=101.66tv=101.66(3)v=5.02m/s

Therefore, the velocity of the stone after 3s is 5.02m/s .

(b)

To determine

### To find: The velocity of the stone after it has risen 25 m .

Expert Solution

The velocity of the stone after it has risen 25m is 4.12m/s .

### Explanation of Solution

Given information:

The height function of the stone is given by,

h=10t0.83t2

The time to reach 25m is calculate as,

h=10t0.83t225=10t0.83t2t=3.54s

The velocity of the stone after it has risen 25m is calculated as,

h=10t0.83t2dhdt=101.66tv=101.66(3.54)v=4.12m/s

Therefore, The velocity of the stone after it has risen 25m is 4.12m/s .

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