Question 256216
A general formula for height is
(i) {{{h(t) = -gt^2 + V0t + S0}}}
using given information, we get
(ii) {{{3896 = -32t^2 + 1008t + 120}}}
setting (ii) = 0, we get
(iii) {{{0 = 32t^2 - 1008t + 3776}}}
Solving for t using the quadratic, we get
t ~ 4.346 seconds
or
t ~ 27.154 seconds