Ok, first thing you should try is to press "e" on the boot screen (with 11.10 selected) and find the line starting with something like "linux /boot/vmlinuz". Add radeon.modeset=0 at the end of that line. It should look something like that:
linux /boot/vmlinuz-(...) splash quiet radeon.modeset=0
Now press ctrl + x. If your system doesn't boot, then repeat that process, but add nomodeset instead, eg:
linux /boot/vmlinuz-(...) splash quiet nomodeset
If it boots properly with one of the above, then you should make this change permanent, so you don't have to do it every time. In order to do that, you should edit your grub configuration file:
sudo vi /etc/default/grub
In that file find a line starting with GRUB_CMDLINE_LINUX_DEFAULT= and add the option which made it work, eg:
GRUB_CMDLINE_LINUX_DEFAULT="quiet splash radeon.modeset=0"
or
GRUB_CMDLINE_LINUX_DEFAULT="quiet splash nomodeset"
Save the file, and tell grub to rebuild its config:
sudo update-grub