A model rocket starts from rest on the launch stand. The engine installed in the model rocket can burn for 1.85 seconds and will burn until the rocket reaches 90 meters. Assume the following ideal conditions. The rocket imports a constant acceleration on the rocket, with no air resistance, the rocket shoots perfectly straight up, and the rocket reaches47.72meters at the precise moment the engine shuts off. When the engine shuts off the rocket continues in the vertical direction and is only under the influence of gravity alone. Find the following

a. The maximum height of the rocket

b. If the parachute fails to deploy and the rocket falls without my drag under ideal free-fall conditions. How long until it hits the ground from the max altitude