Try resetting your device:
Press and hold Home and Power button until you see the Apple logo. As soon as it appears, let go of both. Your iPad will power up on it's own.
This kind of reset won't remove data or change settings.
Something else to try would be this: in Settings - Safari, disable Search Engine Suggestions and Safari Suggestions. There seems to be a bug in iOS 9.2.1 which affects Safari, and this should help.
If you installed the update over the air (Settings - General - Software Update on your device), you should try restoring your iPad via iTunes. This will install a fresh, bug-free new software version on your device.
Before restoring, male sure there's a most recent backup to restore from. This can be a backup to iTunes or iCloud, whichever you prefer. Then restore your iPad.
After restoring, reset your iDevice, using the method described above.
Hope that helps.