A GoPro Hero is $300; a GhettoPro Zero is $50.
Cut off the parts you don't need, super-glue it all together, and you've got yourself a super-light action camera.
Picture quality optional.
A summary of my biking to Husby Gård. See the map below for the exact route. It was all filed using the GhettoPro Zero, and the only correction I've don is to straighten the video as the camera ended up tilted on my helmet. The total size of the source video was 6.1 GB. Since I used a small memory card the first ten minutes or so were automatically deleted by the camera to make space for later video.