This is also a stupid way of saying "off".

Compare...

"I got hit by a car and my head bounced right off of the windscreen!"

...with...

"I got hit by a car and my head bounced right off the windscreen!"

Notice how the word "of" is completely redundant in this type of use.


PS: Sorry to ryano, as I changed my example since he wrote his writeup below. This is getting messy. :)