height = 32 ft
h(t) = -16t^2 + 48t + 32
h = 64 ft
height = 64 - 32 = 32 because she is 32 ft up the floor
32 = -16t^2 + 48t + 32
Solve for t
16t^2 - 48t - 32 + 32 = 0
Simplify
16t^2 - 48t = 0
Factor
16t (t - 3) = 0
Solve for t
16 t = 0 t - 3 = 0
t = 0/16 t = 3
t = 0
time can not be 0, so the answer is time = 4
the other is zero
