Yahoo, a question little noob snowboarder me can actually help with...
You are going to want to decide which is more important, photo or video. The process required for each is totally different and thus a cam that does one well will do the other not so well. It's even wider than the difference between a park board and a powder board. I have a Canon HF10 HD digicam, and while the video is awesome the photos are just barely adequate.
My primary still cam is a Pentax K20D with an f/1.8 Sigma zoom, and I also have a fixed length Sigma f/2.8 macro and f/3.5-4.5 tele lens. I am a semi-pro photographer and I am guessing this is massive overkill for you. My secondary cam is an older waterproof Pentax, and something like that would be right up your alley if you're just looking for snapshots. There are a lot of cameras out now that are both waterproof to 10-30 feet (aka they can get wet) and shockproof (aka they won't break when you fall on them). I would look real hard at one of them. If you are more serious for photos, I'd look at one of the superzoom or "prosumer" cams, my favorite being the Panasonic FZ35 because it has filter threads, so you can mount a polarizing filter on it --will REALLY help on those blue sky days on the mountain. All of these cams except the SLR will shoot video of Youtube-style quality.
For video, I'd look real hard at one of the Flips unless you're really serious. There's something very appealing about a video camera that will fit in your (interior, dry, protected) pocket.