- #1
RawrSpoon
- 18
- 0
Hey guys, first time poster but I'm a physics major and probably going to stick around for a while to help people or get some help myself :P
Anyway, on to the problem!
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 γv3
F=ma=-mg+γv3
I've been able to solve this same problem for γv and γv2 but I can't seem to find an easy way to find
∫dv/(-g+v3)=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?
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 γv3
Homework Equations
F=ma=-mg+γv3
The Attempt at a Solution
I've been able to solve this same problem for γv and γv2 but I can't seem to find an easy way to find
∫dv/(-g+v3)=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?