Flash Actionscript and Collisions Physics

I want a simple application created with Flash using Actionscript 3.0. The main idea is to have 3 balls on the stage that are static, and then user can use their finger or mouse to flick or push the balls. So I need some sort of physics engine setup so the balls collide with each other and bounce off each other and the walls realistically. So if the user flicks the ball fast I want the collisions to be hard and fast, if the user flicks it slow it want the collisions to be slow. So the effect I'm looking for is a air hockey / Pool type game effect. Ideally this will be made for a tablet. I want the physics customizable so that i can change some of the physics i.e change how fast or slow the balls take to stop. I can create the game myself, I want this physics part set up. I want this set up in Flash Professional c4/5, I want the ball objects drawn out and in the library - just somthing simple, I will do the artwork myself and I dont mind if the code is in the time line or OOP but I want the code as simple as possible so that I can go through it. I have attached a picture of roughly how i want it to look. thanks