This action camera is easily mounted on your ski helmet. The maximum video resolution is 1080p. This particular model shoots video at 60fps.
From Amazon
Drift Ghost XL Action Camera - 1080P HD 30FPS Video, 9 Hour Battery, Waterproof, 300 Degree Rotating Lens. Ideal Vlogging Camera, Bike or Motorbike Camera. In Black
DH Autos
Drift Ghost XL Camera
OnBuy
Drift Ghost XL Camera