BuyFind

Single Variable Calculus: Concepts...

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

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

Answer to Problem 30E

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].

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