It starts at 96ft. It is moving at 80 ftps.

h = 96 + 80t -16t^2

So we need another 96ft to reach. So we need 192 = 96 + 80t - 16t^2

In other words, 96 = 80t - 16t^2

in other words, 96 + 16t^2 = 80t

in other words, 16t^2 = 80t - 96

so.... basically, t^2 = 5t - 6

so essentially, 3^2 = 9 = 5 x 3 - 6

so basically t = 3

so fundamentally .... 196 = 96 + 240 - 144

so ummm...the time is 3 seconds................lol i think