I had a 720p movie with 60 FPS. Many web pages argued that it is not possible to play such a movie on your iPad. I converted the source movie with Handbreak‘s iPad profile and only changed the framerate to “same as source”. After the conversion I added the transcoded movie to iTunes and transferred it to the iPad (version 2). It played back at 60 FPS without any trouble with the iOS 6 native movie app. Sometimes things work.