Answer:
t=6
Step-by-step explanation:
h(t) = -16t^2 +64t + 192
We want h(t) =0
0 = -16t^2 +64t + 192
Factor out -16
0 = -16 (t^2 -4t -12)
Factor. What terms multiply to -12 and add to -4 -6*2 = -12 -6+2 = -4
0 = -16(t-6)(t+2)
Using the zero product property
0=t+2 0=t-6
t = -2 t=6
But t=-2 happens before the event occurs so the solution is t=6
