- #1

littlehonda

- 10

- 0

## Homework Statement

Given the one-dimensional retarding force F=-Ae^(-[tex]\alpha[/tex]v) find an expression for v(t).

## Homework Equations

F = m(dV/dt)

A and [tex]\alpha[/tex] are constants, v is instantaneous speed.

## The Attempt at a Solution

Im not sure how to frame the idea of integrating a velocity dependent force. Can I take simply integrate and use

v= -Ae^(-[tex]\alpha[/tex]v)t

or should the v be eliminated from the right hand side. I tried doing that by dividing the left by e^(-[tex]\alpha[/tex]v) and then doing a e^u du type integration but the answer i came up with didn't seem reasonable.

just looking for a little hint or push here, thanks!