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Homework Help: Use seperation of varibles to Find velocity interms of time

  1. Sep 21, 2010 #1
    1. The problem statement, all variables and given/known data
    A mass m has a velocity Vo at time t=0 and coasters along the x axis were the drag force is f(v)=-cv ^3/2 find v in terms of t and the other given parameter. at what time will it stop.

    2. Relevant equations
    F(v)=m dv/dt

    3. The attempt at a solution
    So i started by using separation of var and got dv= f(v)dt/m then i just take the integral of both sides Is this correct? then i just do it from 0 to t to one side and 0 to v to the other? How would i then find what time it would stop? set v = 0 or something?

  2. jcsd
  3. Sep 21, 2010 #2


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    Correct on all accounts. Just make sure that anything with v in it is on the left side and anything with t in it is on the right before you integrate.
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