A model rocket is launched straight upward with an initial speed of 45.6 m/s. It accelerates with a constant upward acceleration of 1.5 m/s^2 until its engines stop at an altitude of 180.5 m. What is the maximum height reached by the rocket? Answer in units of m. How long after lift-off does the rocket reach its maximum height? Answer in units of s. How long is the rocket in the air? Answer in units of s.