Solve the below problem:
Q: 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 27.5 m at the end of the powered portion of the flight and that the rocket landed 16 s 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 = 9.81m/s2, determine
(a) The speed v1 of the rocket at the end of powered flight,
(b) The maximum altitude reached by the rocket.
