How To Shoot Fast On A Camera Which Point & Shoot Digital Camera Has The Fastest Shutter Time?

Which point & shoot digital camera has the fastest shutter time? - how to shoot fast on a camera

I am interested in buying a point and shoot digital camera has a long shutter speed. I've recently bought the Sony Cyber-shot DSC-W200, but I wonder if there is something that is faster. I do not want to spend over $ 400. Used to photograph my children, not long silence, so I need the camera to be fast. But I'm also small enough to fit in my pocket.