Why rocket altitude does not increase proportionally?

AI Thread Summary
Rocket altitude does not increase proportionally due to the conservation of energy principles, specifically relating gravitational and elastic potential energy. The mass of the rocket remains constant, but the spring constant (k) decreases as the rubber band stretches. This relationship indicates that as the rocket ascends, the energy transfer dynamics change, affecting altitude gain. The discussion highlights the need for clear communication of concepts, as visual aids can be crucial for understanding complex physics. Overall, the interplay of energy forms is central to understanding rocket altitude behavior.
Starnair
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Homework Statement
1. Why rocket altitude does not increase proportionally with the amount of rubber band stretch? Provide an explanation for the lack of direct correlation.
I'm not sure that I am doing in right way, and cannot understand why k value is decreasing as rubber band stretches because I thought k value never changes.
Relevant Equations
Es=Eg
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I thought it is because of the consevation of the energy, so I used (gravitational potential energy at the top = elastic potential energy). Since the mass of the rocket never changes, I supposed mass= 1kg, and k value is unknown. As a result, I got the result that k value is decreasing as ruvber band stretches.
 

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I don't think your attachment would be legible even if you had NOT posted it sideways. You should fix both of those issues and re-post it.
 
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