Continuous Movement

I am working a on a project that needs a continuous movement like a bullet but can also follow a grid, like grid based movement. The style of movement is very important to the game, without it the game is technically broken. Any help at all would be great thank you!

Okay I really don't under stand what you what.

show I would like to ask you some questions to better understand what you need.

1: What you need it for/ what kind of game are you making?

2: is this for a playable character or NPCs?

3: do you need it to follow in a certain path continuously or do you need it to stay in a straight line continuously?

Think pacman movement.

I need the player constantly moving and traveling only along the X and Y axis, turning when when an arrow key is pressed. The problem I am running into is any movement that I add to behaviors is breaking it out of the grid breaking my game.

Yes it needs to follow a straight line continuously. Just like pacman.

http://dl.dropbox.com/u/2867484/example.cap

An example I made

Thanks for the demonstration that helps me a lot. I think I can start from there.