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astonmartin
Sep19-10, 08:51 AM
If my Force = (-gamma)(dx/dt)
velocity v = dx/dt
Mass m

(m)(dv/dt) = F = (-gamma)(dx/dt)

Now I want to integrate it over kT<= t <= (k+1)T

Rearranging gives me (dv/v) = (-gamma/m)dt

The right side integrates to (-gamma/m)(T), but how do I integrate the left side over kT<= t <= (k+1)T??

Thanks

HallsofIvy
Sep19-10, 09:03 AM
\int \frac{1}{v} dv= ln(v)+ C

astonmartin
Sep19-10, 09:40 AM
^but what does that give me for the definite integral?

ln [v(k+1)T / v(kT)] ?