HTML5 Video in iPad not working after DOM changes

Here is a script that appends the markup for an html5 video to the DOM:

document.body.innerHTML = '<video id="video" controls="controls" src="http://mirror.cessen.com/blender.org/peach/trailer/trailer_iphone.m4v" type="video/mp4"></video>';
var el = document.getElementById('video');
document.body.removeChild(el);
document.body.appendChild(el);

jsfiddle demo: http://jsfiddle.net/h8RLS/2/

This works in all browsers tested, except for Safari on iOS. In iOS, when the HTMLVideoElement is re-appended to the DOM, it is no longer playable.

Has anyone else resolved or encountered this issue?