Answer:
t = 15.42 s
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation.

We ned to find the time when the rocket will the ground. For this, y = 0

It is a quadratic equation whose solution is given by :

Here, a = -16, b = 242 and c = 73

Neglecting negative value.
So, it will hit the ground in 15.42 s.