Rocket Launch Question: Calculating Height After 1.5s with Given Mass and Force

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To calculate the height of a rocket with a mass of 0.5 kg and an upward force of 22 N after 1.5 seconds, the downward gravitational force (mg) should be subtracted from the upward force. The resulting net force is 17 N, which can be used to determine the rocket's acceleration. By applying kinematic equations, the height can be calculated using the time of thrust and the net acceleration. A free body diagram is recommended to visualize the forces acting on the rocket for a clearer understanding of the problem.
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Homework Statement


A rocket of mass 0.5kg is shot vertically and burns for 1.5s, providing a constant force of 22N.


After 1.5s what is the height of the rocket above the ground?


The Attempt at a Solution



by taking m*g of the rocket (downwards force) away from the 22N force (upwards).
I figured the resulting upwards force = 17N

unsure how i use this to get the maximum height though
 
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Start with a free body diagram. What are the forces acting on the body? What is the resultant of these forces?
 

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