Use seperation of varibles to Find velocity interms of time

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Homework Statement


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.


Homework Equations


F(v)=m dv/dt


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?

Thanks
 
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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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