Why rocket altitude does not increase proportionally?

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Starnair
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Homework Statement
So i am working on grade 11 physics, and i need some helps. This is the problem.

1. Why rocket altitude does not increase proportionally with the amount of rubber band stretch? Provide an explanation for the lack of direct correlation.
Relevant Equations
Elastic potential energy
Ggg
 
Hello Starnair, :welcome: !

Nice of you to think of PF, but the idea here is that we help you, not that we do your assignments for you (after all, we don't get the credit afterwards -- you do !).

So you suspect there is a relation between band stretch and altitude. (I agree). Did you measure them ? Make a plot of stretch (horizontal) and altitude (vertical) ?

What have you learned so far that might be of help ? Know the kinetics relationships ?