Question

A volleyball player sets a volleyball straight up into the air. The height of the volleyball, , is modeled by this equation, where t represents the time, in seconds, after that ball was set.

The volleyball reaches its maximum height after 0.625 seconds. What is the maximum height of the volleyball?

Answer 1

The maximum height of the volleyball is 12.25 feet.

Explanation:

The height of the volleyball, h(t), is modeled by this equation, where t represents the time, in seconds, after that ball was set :

....(1)

The volleyball reaches its maximum height after 0.625 seconds.

For maximum height,

Put

Now put t = 0.625 in equation (1)

Hope this helps!!