The GoPros are great cameras. I've used them during flight testing several times. Just apply power and they start recording in full HD for around 4 hours on a 32 GB card.
If you want it to get power from the ship then you'll have to be a little savy with electronics and use the high-density connector in the back (unless GoPro has come out with an accessory to do this for you).
There are even several different kinds of lenses you can choose from if you don't want the standard GoPro fisheye lens.
We put 7 of these little guys all over an S76 last summer and collected over 2 TB of video with them.