Good news for all you people who want to process their own video on their Drupal website. While FFMpeg is a "forbidden" application as far as the Fedora project guys and gals are concerned (not sure why - usually because of some legal issue), the ATrpms repositories contain FFMpeg, the Linux command line video encoding tool you need to install to use the FlashVideo module:
http://atrpms.net/
Specifically, here is the Fedora 10 repository:
http://atrpms.net/dist/f10/