Q: password ipad 2 - no recovery possible

If you are having problems with apps stalling or crashing,

-- double click on home button

-- swipe up on all the apps to force quit them

Re-boot ipad.

Press and hold the Sleep/Wake button until a red slider appears, then drag the slider. Then press and hold the Sleep/Wake button until the Apple logo appears.

https://support.apple.com/en-us/HT201559

force power down if the above give you trouble.

Hold down both the Sleep/Wake button and the Home button. Ten seconds or more.  Hold until the Apple logo appears.

more details on re-booting:

   http://ipad.about.com/od/iPad_Guide/ss/How-To-Reboot-Your-iPad-Power-Off.htm

This these tips by MichelPM to improve performance:

https://discussions.apple.com/message/29504169#29504169

https://discussions.apple.com/message/29504311#29504311

Restore to factory settings by loading the latest version of ios that your machine will support:

  1)  Do a full backup of your device if needed.  Twice is best -- cloud and computer.

      https://support.apple.com/en-us/HT203977

  2) Three ways of restoring your ipad.  [ as easy as abc ]

  2.a) "You can use iTunes to restore your iPhone, iPad, or iPod touch to factory settings and the latest version of iOS."

         http://support.apple.com/kb/HT1414?viewlocale=en_US&locale=en_US

  2.b) Be a little more insistent:  "You can put your iOS device into recovery mode, then restore it using iTunes.:

         http://support.apple.com/en-us/HT201263

  3.c) At last resort you could consider DFU (Device Firmware Update).  This could void your warranty.

         http://www.imore.com/tip-put-iphone-ipad-dfu-mode

This doesn't help, but you may have installed a profile, possibly for a game, vpn, or other special app. That may have implemented the tricky software.

If it is just an app running, you might be able to get around it by double clicking on the Home button and killing the app.