Snake-like movement

Hi people,

I am asking myself, how to make my snake move.
All of you may know that little game called snake (http://de.wikipedia.org/wiki/Snake). I am planning this project as my first 2D-project, but I am struggling at the very first basic.

Does anyone of you have an idea, how I can make the body-objects move along the exactly same track as the head goes.
I have done a snake before in flash, where I simply put the body-part to the position of the body-part in front of it. But that is not smooth enough in my eyes. So I need to move the objects like a train.

I hope, someone has an idea.
Cheers
Chricken

 

Thanks for your idea.
All physically-based ideas, that I have seen on the web make the body of the snake take some shortcut to follow the head: i.e. http://unitycoder.com/blog/2011/12/05/snake/
or

But I need the body parts to move exactly the same way as the head does.
Just like a train follows the locomotive.

At the moment, I am thinking about arrays, that contain the former position of the head and make the bodyparts follow it.
Unfortunately it has to be a very big array

 

OK,

tried it in Actionscript (don't have unity at work) and it works fine with arrays.
Seems like I have to learn, how to use ArrayLists in C#

Cheers
Chricken

PS: If anyone cares, I have attached the Flash-project.