Answer:
3rd option
Step-by-step explanation:
When the object hits the ground the height h(t) = 0 , then
- 16t² + 96t + 256 = 0 ( divide through by - 16 )
t² - 6t - 16 = 0 ← in standard form
(t - 8)(t + 2) = 0 ← in factored form
Equate each factor to zero and solve for t
t - 8 = 0 ⇒ t = 8
t + 2 = 0 ⇒ t = - 2
but t > o , then object takes 8 seconds to hit the ground
