Question 1157715
The maximum height of a quadratic occurs when t=-b/2a (vertex) where here b=134 and a=-16
so at -134/-32 or 4.1875 seconds

h(4.1875)=-280.5625+561.125
=280.5625 or 281 feet


{{{graph(300,300,-5,10,-50,300,-16x^2+134x)}}}