Rails - Mar 2010 - differences between relative_url using Rails with Prototype or JQuery

My web app is deployed with Passenger in a sub-uri, 
http://www.mydomain.com/vacademy/
and I am displaying a player in a page
the swf is located in ../public/dist/flowplayer-3.1.5.swf

Using  Prototype library  I wrote a script :
	<script>
	$f("player", "./dist/flowplayer-3.1.5.swf", {
....
and I don''t have any problem to get the player installed    from
http://www.mydomain.com/vacademy/dist/flowplayer-3.1.5.swf

but when using jQuery
<script>
$(function() {
 ......
	$f("player2", "./dist/flowplayer-3.1.5.swf", {
...
the .swf is not found as the relative url is based on the
controller ...  
http://www.mydomain.com/vacademy/mycontroller/dist/flowplayer-3.1.5.swf

is there anyway to bypass this behavior, not using a relative path or
getting the rails public path in js ?

thanks for your help

erwin

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