Prevent Object/Character from "drifting" away from Collider

Does your player and collider have a parent/child relationship or is it all one contained GameObject?

Well! (I had to check on this one ._.)

The Character consists of a couple of Game objects, but the main one (the parent object) has both the Collider and the $$anonymous$$ovement Script attached to it!

// EDIT: screenshot: http://puu.sh/6Fw72.png

I think misunderstood you. I thought you were saying the player and its simple collider are 'drifting' away from each other. You are actually saying when this player hits a different collider (wall) he gains some kind of acceleration bonus. Is that right?

If so, could you post the relevant code on the object collider that's adding velocity?

Sorry if I my writing led to this misunderstanding Q_Q english is not my native language :I

Anyways! Here you go:

 // VERTICAL AND HORIZONTAL $$anonymous$$OVE$$anonymous$$ENT
             if(moving == "left") // $$anonymous$$ove Character LEFT
             {
                 velocity = new Vector3(1 / acceleration_normal, 0 , 0);
                 $$anonymous$$ovePlayer("left");
             }
             if(moving == "right") // $$anonymous$$ove Character RIGHT
             {
                 velocity = new Vector3(-1 / acceleration_normal, 0 , 0);
                 $$anonymous$$ovePlayer("right");
             }
             if(moving == "up") // $$anonymous$$ove Character UP
             {
                 velocity = new Vector3(0, 0 , -1 / acceleration_normal);
                 $$anonymous$$ovePlayer("up");
             }
             if(moving == "down") //$$anonymous$$ove Character DOWN
             {
                 velocity = new Vector3(0, 0 , 1 / acceleration_normal);
                 $$anonymous$$ovePlayer("down");
             }
 
             if(moving == "stop")
             {
                 velocity = Vector3.zero;
                 $$anonymous$$ovePlayer("stop");
             }
 
             if(velocity != Vector3.zero)
             {
                 transform.Translate(velocity);
             }
             else
             {
                 transform.rigidbody.Sleep();
             }