The equation for height as a function of time can be written as .. h(t) = -16t^2 +110t +2 .. = -16(t^2 -55/8t) +2 .. = -16(t^2 -55/8t +(55/16)^2) +2 +55^2/16 . . . . . complete the square .. = -16(t -55/16)^2 +191 1/16 . . . . . . . . . . . . . . . . . . vertex form
The maximum height the ball will reach is 191 1/16 feet.
