Heres an update from my previous post:
I have managed to get fast internet back on my ipad2 after the iOS 8.1.1 update. Some of you in this discussion had already seen a fast internet experience after 8.1.1 but i hadn't. The internet was very bad/unuseable/non existent. So if you are having the same issue hopefully this may help you.
* I reset my iPad (General>Reset>Erase all content and settings). It was still 8.1.1 but deleted everything else. (i backed up pictures/videos and did a backup to iTunes first of course). That didn't help!
* I reset my network settings (General>Reset>Reset network settings.) That didn't help!
* I noticed that the iPad2 was doing everything else quickly, like opening apps, switching between apps, etc, it was just safari that was not opening webpages. I began to think maybe it was the wifi or the router rather than the iPad. I have a dual frequency router (2.4GHz & 5GHz) with the same SSID (wireless network name), so you don't actually know which frequency the iPad is connected to, it could be 2.4 or 5 GHz. I went into the router and gave the 2.4Ghz a new SSID, the iPad automatically connected to the 5GHz wireless network but when opening safari it would not load a webpage. That didn't help!
* I connected the iPad to the 2.4 GHz and hey presto it worked and opened a webpage very quickly. After opening a few more webpages it seemed to be fine. Its now been a few days and its still working fine viewing the web, streaming youtube and tv programmes. That did help!
* I connected back to the 5GHz wireless and it couldn't load a single webpage again. Is the iPad2 5GHz enabled? I read in another post it is.
* Of course you need to bare in mind that this has wiped the ipad2 and as yet i haven't added apps, emails, etc or done a restore from iTunes of the backup.
My ipad2 was unuseable before this so I hope it helps you get back on the net. Good luck!
Pete