For unknown reasons, the iOS video player app found on all iPads locks itself up in rare situations. Opening the video app results in a black screen, all you can do is jump back to the home screen using the home button. Both, restarting the iPad or re-syncing it on iTunes won’t help.
Now before you restore your iPad, there are two quick things you could try first:
- If you know the title of a movie on your iPad, use the search function to look it up and start it by tapping it
- …or open the iPod app and select a video podcast or iPad video and play it
The video app should be working again from now on. If it doesn’t then I’m afraid, you probably have to do a full restore of your iPad.