Answer:
It should be t = 1.5 seconds if your equation is h(t) = -16*t^2 + 8t + 24
Explanation:
h(t) = -16*t^2 + 8t + 24
We want to solve for t when h(t) = 0.
This is a parabolic equation so basically we can use the quadratic formula to solve this.
h(t) = -16*t^2 + 8t + 24
0 = h(t) = -16*t^2 + 8t + 24
take out the 8
0 = -2t^2 + t + 3
0 = -2t*t - 2t + 3t + 3
0 = -2t * (t + 1) + 3*( t + 1)
0 = (-2t + 3) * ( t + 1)
so time cannot be negative, so we choose 0 = (-2t + 3), t = 3/2 seconds
or t = 1.5 seconds