Answer:
t = 17 seconds
Step-by-step explanation:
h(t) = -16t^2 + 4624
We want to find the time when the wood hits the ground or when h(t) =0
0 = -16t^2 + 4624
Subtract 4624 from each side
0-4624 = -16t^2 + 4624-4624
-4624 = -16t^2
Divide each side by -16
-4624/-16 = -16t^2/-16
289 = t^2
Take the square root of each side
±sqrt(289) = sqrt(t^2)
±17 = t
Since we cannot have negative time
t = 17 seconds
