A group of students launches a model rocket in the vertical direction. Based on tracking data, they determine that the altitude of the rocket was 89.6 ft at the end of the powered portion of the flight and that the rocket landed 16s later. Knowing that the descent parachute failed to deploy so that the rocket fell freely to the ground after reaching its maximum altitude and assuming that g=32.2 ft/s2, determine (a) the speed v1 of the rocket at the end of powered flight, (b) the maximum altitude reached by the rocket.