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Find the velocity v as a function of the displacement x for a particle of mass m, which starts from rest x=0

F(x)=Fo + Cx where Fo and C are positive constants

So far i've gotten,

ma=Fo + Cx

m (dv/dt)=Fo +Cx

m (dv/dx dx/dt)=Fo +Cx I split dv/dt using the product rule

m v dv=(Fo + Cx) dx v=dx/dt

now i'm haveing problems doing the intergal of both sides i have so far

m(v-vo)=????

can anyone help?

I've intergrated on the LHS from vo to v and i think the RHS should be from xo to x

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# Homework Help: Position dependant forces

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