Question 910873
 h(t) = -16t^2 + 288t 
 h(t) = -16(t-9)^2 + 1296 Pt(9,1296) max point
....
0  = -16(t-4)^2 + 1296
16(t-4)^2 = 1296
(t-4)^2 = 81
 t = 4 ± 9
t-intercepts: -5, 13
....
h(0) = 0
h(5) = plug and play {{{-16*25 + 288*5}}}
....
1152 = -16t^2 + 288t 
16t^2 - 288t +1152 = 0
t^2 -18t + 72
(t-12)(t-6) = 0
t is 6, 12