# The time taken by the ball to reach ground level if it is dropped from 288 ft above the ground. ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.5, Problem 109E
To determine

## The time taken by the ball to reach ground level if it is dropped from 288 ft above the ground.

Expert Solution

The time taken by ball to reach ground level is 4.24s_.

### Explanation of Solution

Given:

The height of an object dropped from a height h0 above the ground after t seconds is given by h=16t2+h0 where h is measured in feet.

Calculation:

The height of the ball will be zero when it reaches the ground.

It is given that the ball is dropped from 288 ft above the ground.

Therefore, substitute 0 for h and 288ft for h0 in the equation h=16t2+h0.

0=16t2+28816t2=288t2=28816t2=18

Simplify further as follows.

t=±18t=±4.24

Note that, time will always be positive.

Thus, the time taken by ball to reach ground level is 4.24s_.

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