Answer
Time is 3.1 seconds
Work Step by Step
$h = -16t^{2} + 154$
The apple hits the ground so the height equals 0 so we plug in 0 for h and find t
$0 = -16t^{2} + 154$
Subtract 154 from both sides
$0 - 154 = -16t^{2} + 154 - 154$
$-154 = -16t^{2}$
Divide -16 on both sides
$ \frac{-154}{-16}= \frac{-16t}{-16}^{2}$
9.625 = $t^{2}$
We take square root of both sides
$\sqrt 9.625 = \sqrt t^{2}$
$\sqrt 9.625$ = 3.1 x 3.1
t= 3.1
