#Anyone know how I can use [v(t)]^2 for this rocket equation? I get stuck on

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bleak summitBOT
quaint ore
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basically I need to make a model that solves this:

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when v(t) is not squared the answer is:

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I need to be able to essentially plug in the initial mass of a rocket and the final mass of a rocket (no fuel) and some air resistance data and gravity, the flow rate of fuel, and the final (maximum delta V) should be the answer.

mossy star
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variable mass system right?

quaint ore
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yes

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variable mass

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therfore

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variable forces and all that jazz