This post will mainly serve as a reminder for the next time I ever need this. The goal is absolutely NOT to create a detailed guide.. ;-)
To extract the audio track out of a video:
ffmpeg -i input.mp4 -c:a copy -vn -sn output.m4a
To cut a part of a video (no re-encoding):
ffmpeg -i VID_20140214_171208.mp4 -vcodec copy -ss 00:10:00 -t 00:00:08 result.mp4
The command above cuts from 10:00 and takes 8 seconds of video.