Answer:
36 feet.
Explanation:
h = -16t² + 48t .......... (1)
The above equation relates the height h, in feet of the water at time t, in seconds.
Now, condition for greatest height is
......... (2)
So, differentiating equation (1) with respect to t we get, -32t + 48 = 0 {From condition (2).
⇒ t = 1.5 seconds
So, the greatest height is = -16 (1.5)² + 48 (1.5) = 36 feet. (Answer)