Question

A model of rocket weighing 0.2 lbs is initially at rest at time t = 0...

A model of rocket weighing 0.2 lbs is initially at rest at time t = 0 when launched vertically
upwards using a propulsive force of 2 lbs. This propulsive force is applied from 0 <t ≤ 1 sec.
When t> 1 sec, the propulsive force stops acting. By neglecting the resistance of the air and assuming that the
mass of the rocket remains constant, determine

a) The time required for the rocket to reach its maximum height.
b) The maximum height h that the rocket will reach
The gravitational constant, g = 32.2 ft / sec

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