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

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PhysicsTurkey
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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
 

Discussion

Start with a free body diagram. What are the forces acting on the body? What is the resultant of these forces?