Afireworks rocket is launched from a hill above a lake. the rocket will fall into the lake after exploding at its maximum height. the rocket’s height above the surface of the lake is given by g(x)= -16x^2 + 64x + 80. how long will it take the rocket to hit the lake? show your work. a. 150 ft b. 120 ft c. 120 ft d. 144 ft