I think your selector is wrong:
$(document).ready(function(){ $("#<%= Accordion1.ClientID %>").accordion( { active: false, collapsible: true }); });
This would have to go to your page, and not to an external javascript file, otherwise the code code <% =%> will not be executed.
Side note: you use a jquery notation that looks like jQuery jQuery accordion code, but then tries to apply it to what looks like the Ajax Control Toolkit accordion control. If this is what you are doing, then probably it will not work. However, if you have the latest version of ACT included in the Microsoft Ajax library, then you may be right here. I know that they redefined all ACT controls that would appear as jquery plugins, but I did not use this release.
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