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Anabelle37

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A boat of mass m is traveling with the velocity v0. At t=0 the power is shut off. Assuming water resistance proportional to v^n, where n is a constant and v is the instantaneous velocity, find v as a function of the distance travelled. (Note that you need to consider the two cases).

I'm having trouble setting the problem up. Do I need to have a force balance equation? What would it be as the one I originally thought of doesn't make much sense: mdv/dt=v0 - kv^n.

Please help asap!

Thanks