Word problem help? 3

Question

An object is dropped from 49 feet below the tip of the pinnacle atop a 725-ft tall building. The height h of the object after t seconds is given by the equation h=-16t^2+676. Find how many seconds pass before the object reaches the ground.

 

__seconds pass before the object reaches the ground

Answer 1

Set h = 0 and solve for t

-16t^2 + 676 = 0

t^2 = 42.25

t = +/- 6.5 sec

t = 6.5 sec

Plug t into equation and verify the answer

t does equal 6.5 sec.