# The velocity of the ball after 2 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 8E

(a)

To determine

## To find: The velocity of the ball after 2 s .

Expert Solution

The velocity of the ball after 2s is 17m/s .

### Explanation of Solution

Given information:

The position function of the ball given by,

s=5t+3t2

The velocity of the ball after 2s is calculated as,

s=5t+3t2dsdt=5+6tv=5+6(2)v=17m/s

Therefore, the velocity of the ball after 2s is 17m/s .

(b)

To determine

### To find: The time to reach the velocity 35 m/s .

Expert Solution

The time to reach the velocity 35m/s is 5s .

### Explanation of Solution

Given information:

The position function of the ball given by,

s=5t+3t2

The time to reach the velocity 35m/s is calculated as,

s=5t+3t2dsdt=5+6t35=5+6(t)t=5s

Therefore, the time to reach the velocity 35m/s is 5s .

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