A Catapult launches a small plane at an angle of 53 degrees above the horizontal with an initial speed of 120 m/s. the plane engines immediately start and for 4s the plane moves along its initial line of motion with an acceleration of 30 m/s^2. then the engines fail, and the plane proceeds to move in free fall. Find the maximum altitude reached by plane, B its total time of flight, and its horizontal range.