9. A rocket is launched into the air and follows a path modelled by the function h(t) = -3t2 + 30t + 225, where time, t, is in seconds and height, h(t), in metres. a] What is the initial height of the rocket? [1 Mark] b) What is the maximum height reached by the rocket? [3 Mark] c) At what time will the rocket reach its maximum height? [1 Mark] d) When will the rocket hit the ground? [3 Mark]