- #1
Radarithm
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Homework Statement
[tex]F=-mg-m\alpha v[/tex][tex]F=m\frac{dv}{dt} =[/tex]
[tex]\int_0^v \frac{dv'}{g+\alpha v'} = -\int_0^t dt'[/tex]
This equals:
[tex]\ln \frac{1+\alpha v}{g} = -\alpha t[/tex]
I don't understand why it does; I keep getting an incorrect answer. Can anyone tell me what I'm doing wrong?
Homework Equations
The Attempt at a Solution
let [tex]u=g+\alpha v'[/tex][tex]du=g+vdv[/tex] so [itex]du-g=vdv[/itex]
[tex]-g+\int_0^v udu = \ln (g+\alpha v)-g[/tex]
This has to do with getting the velocity as a function of time; I don't know if it should be in the physics section or not but this is a problem I'm having with calculus.
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