Answer:
The problem is clearly solved in the attachment
t = 1.33 sec
Solution:
Given data:
Velocity
= 17.5 ft/s
Height
= 5 ft
The height can be modeled by a quadratic equation

where h is the height and t is the time


a = –16, b = 17.5, c = 5
It looks like a quadratic equation. we can solve it by quadratic formula,






Time cannot be in negative. So neglect t = –0.235.
t = 1.33 sec
Hence Amy have to react 1.33 sec before the volleyball hits the ground.
221.1 and .0004 are the answers.