Retarding force acting on a particle

[vballgurl154]

Homework Statement

A particle of mass m moving along a straight line is acted on by a retarding force F=be^(av) where b and a are constants and v is the velocity. At t=0 it is moving with velocity v(0) . Find the velocity at later times.

Homework Equations

F=ma=m(dv/dt)

The Attempt at a Solution

I tried taking the integral of the force equation to solve for v from dv/dt but I'm not sure where to go from there. The answer in the book is v(t)=(1/a)ln(1/(abt/m+e^(-av))

 

[rl.bhat]

Hi vballgurl154, welcome to PF.
Unless we see your calculations, we are not able to point out your mistakes.
Now F = dv/dt = b*e^(av)
So dv/(b*e^av) = dt.
So 1/b*Intg(e^-av) = Intg(dt) + C
Find the value of C by applying the initial conditions.

 

[vballgurl154]

thank you! i figured it out :)