(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A particle of mass m falls fom rest; the resistance of the air when the speed is v is kv^{2}where k is a constant. If s is the distance fallen in time t, prove that s = V^{2}/2g ln(V^{2}/(V^{2}-v^{2})), where V^{2}=mg/k

2. Relevant equations

3. The attempt at a solution

I have already proven that t = V/2g ln((V+v)/(V-v)). How do I make use of that equation to solve the problem? Do I have to change to v(t) equation and integrate it?

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# Homework Help: Kinmatic question involving differential equation

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