A rocket is launched from the top of a 200-foot tall cliff with an initial velocity of 120 feet per second. The height, h(t), of the rocket at time t seconds after it was launched can be modeled by the equation h(t) = −16t^2 +120t + 200 . a. What is the maximum height of the rocket?
b. How long did it take the rocket to reach its maximum height?
c. How long does it take the rocket to hit the ground?
d. How long after reaching its maximum height did it reach the ground?