- #1

RawrSpoon

- 18

- 0

Anyway, on to the problem!

## Homework Statement

A particle is released from rest and falls under the influence of gravity. Find the relationship between v and falling distance y when the air resistance is equal to γv

^{3}

## Homework Equations

F=ma=-mg+γv

^{3}

## The Attempt at a Solution

I've been able to solve this same problem for γv and γv

^{2}but I can't seem to find an easy way to find

∫dv/(-g+v

^{3})=t+C without Mathematica giving me an incredibly complex answer.

I don't want hand-outs, I want to solve this myself, but I don't have any idea where to go with this. Any tips on what I should be looking at to attempt a solution?