I found an issue when trying to tell an instance of JW Player what to do from jQuery.  Here’s my code:

$('#broadcast_player').get(0).sendEvent('PLAY', false);

This video wasn’t stopping like it should.  I found a thread with the answer:

For Linux, add the flashvar id=player1 to match the name and id in your object code. Jeroen added the idflashvar specifically for Linux.

I did that and it worked.