Question

HELPPPPP ASAPPPP

Select the correct answer.
A volleyball player sets a volleyball straight up into the air. The height of the volleyball, h(t), is modeled by this equation, where e represents the
time, in seconds, after that ball was set.
= -16t2 + 20t + 6
The volleyball reaches its maximum height after 0.625 seconds. What is the maximum height of the volleyball

A. 11.625 feet
B. 12.25 feet
C. 8.5 feet
D. 1.625 feet

Answer 1

Answer:

The maximum height of the volleyball is 12.25 feet.

Step-by-step 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 :

$h(t)=-16t^2+20t+6$ ....(1)

The volleyball reaches its maximum height after 0.625 seconds.

For maximum height,

Put $\dfrac{dh}{dt}=0$

Now put t = 0.625 in equation (1)

$h(t)=-16(0.625)^2+20(0.625)+6\\\\h(t)=12.25\ \text{feet}$

So, the maximum height of the volleyball is 12.25 feet.