Inverse of velocity function? *Have pics of attempt*

[Morhas]

Homework Statement

http://img29.imageshack.us/img29/4863/12544262.jpg

Homework Equations

The Attempt at a Solution

I don't know if I did this right. If I did, I can't find what meaning the inverse of this functions has :S. Any help is appreciated.

http://img59.imageshack.us/img59/7153/27743903.jpg

 

[lanedance]

f is a map from v to m, ie
m = f(v)

f^-1 will be the map from m to v, ie
v = f^-1(m)

 

[Morhas]

I think I understand this, but what does it mean physically speaking in terms of mass and the velocity?

 

[lanedance]

not too sure... maybe that for a given object there is one to one correspondence between mass & magnitude of velocity, so f^-1, is the unique map from mass to velocity magnitude