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Math Help - Motion with resistance problem

  1. #1
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    Motion with resistance problem

    A boat of mass m is traveling with velocity v_0. At t=0 the power is shut off. Assuming water resistance is proportional to v^n, where n is a constant and v is the instantaneous velocity, find v as a function of the distance traveled.
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  2. #2
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    Quote Originally Posted by jmedsy View Post
    A boat of mass m is traveling with velocity v_0. At t=0 the power is shut off. Assuming water resistance is proportional to v^n, where n is a constant and v is the instantaneous velocity, find v as a function of the distance traveled.
    You have (force=mass x acceleration):

    m \frac{dv}{dt}=-kv^n

    where v(0)=v_0

    CB
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  3. #3
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    This problem is in a section involving the spring-dash-pot system. I'm still unable to relate the problems.
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