A rocket is launched at an angle of θ = 50∘ above the horizontal with an initial speed vi = 75 m/s, as shown below. It moves for 25 s along its initial line of motion with an acceleration of 20.2 m/s2. At this time, its engines fail and the rocket proceeds to move as a free body. (a) What is the rocket's maximum altitude? m (b) What is the rocket's total time of flight? s (c) What is the rocket's horizontal range? m