Meriam, Kraige & Bolton — Kinematics of Particles: Problem 2_25

2/25 A model rocket is launched from rest with a constant upward acceleration of \(3 \text{ m/s}^2\) under the action of a small thruster. The thruster shuts off after 8 seconds, and the rocket continues upward until it reaches its apex. At apex, a small chute opens which ensures that the rocket falls at a constant speed of \(0.85 \text{ m/s}\) until it impacts the ground. Determine the maximum height \(h\) attained by the rocket and the total flight time. Neglect aerodynamic drag during ascent, and assume that the mass of the rocket and the acceleration of gravity are both constant.