# The time interval when the ball is at least 32ft height . ### 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 A, Problem 30E
To determine

## To find: The time interval when the ball is at least 32ft height.

Expert Solution

The time interval is [0,3].

### Explanation of Solution

Given:

The formula for obtaining height is, h=128+16t16t2.

Calculation:

Since the height of the ball should be 32 ft minimum, h32.

Thus, the equation becomes,

32128+16t16t216t216t960

Find the roots of the above equation, 16(t3)(t+2)=0.

The roots are 3 and 2. Thus, time interval is, 2t3.

Since time cannot be negative, the interval of time when the ball is at minimum 2 ft is [0,3].

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!