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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.5, Problem 110E

(**a**)

To determine

The time taken by ball to fall half the distance to ground level if it is dropped from 96 ft above the ground.

Expert Solution

The time taken by ball to fall half the distance to ground level is

**Given:**

The height of an object dropped from a height *t* seconds is given by *h* is measured in feet.

**Calculation:**

It is given that the ball is dropped from 96 ft above the ground.

The height of the ball will be

Substitute

Simplify further as follows.

Note that, time will always be positive.

Thus, the time taken by ball to fall half the distance to ground level is

(**b**)

To determine

The time taken by the ball to fall to the ground level.

Expert Solution

The time taken by the ball to fall to ground level is

It is given that the ball is dropped from 96 ft above the ground.

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

Therefore, substitute

Simplify further as follows.

Note that, time will always be positive.

Thus, the time taken by the ball to fall to ground level is