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

BuyFind

### Precalculus: Mathematics for Calcu...

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

### Precalculus: Mathematics for Calcu...

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

#### Solutions

Chapter 1.5, Problem 109E
To determine

Expert Solution

## Answer to Problem 109E

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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