Also note that if the ambient light level is low, you can try an alternate approach:
Dial in exposure settings that have a relatively long shutter speed, yet leave the frame black (or very dark) if the flash doesn't fire. Low ISO, relatively small aperture, relatively long shutter speed (that is, anything slower than your sync speed of ~1/200).
If the scene is solely lit by the flash (no ambient) then the subject will still be frozen when the flash fires - even if the shutter speed is very long.
This is how many people accomplish specialty frozen-motion photography such as a bullet firing through an apple, a popping balloon, or a falling water droplet. Instead of trying to use a fast shutter speed, and time it just right to capture the moment, you just leave the shutter open and fire the flash(es) to grab the perfect moment.
[edit] Yeah, what Dustin said.
Also useful to know, is that more powerful flashes will often have a SLOWER effective shutter speed than lower-power flashes, because there's still a little bit of light being emitted as the flash is "cooling off" for that tiny fraction of a second. Some specialty flashes can have an effective shutter speed of 1/30000 or even faster when fired at low power levels. But even the slowest flashes are going to be like 1/1000 or faster, certainly enough to freeze most action.