First of all, is this in your car? What are the system specs, including power supply?
When you ask a question like this, you really need to provide more information than "My computer does this." There's a lot of potential causes for what you're experiencing, and without any details, it's difficult to pinpoint the solution.
I'd first try a new stick of RAM in the system. Bad RAM makes PCs do all sorts of wacky ****.
Another problem could be the HDD. Did you do a full or quick format when you installed WIndoze? If you did a Quick Format, it wouldn't have done a CHKDSK, which means that any bad sectors wouldn't be discovered and written around.
The CPU could be overheating, although on a resume from hibernation, that's not too likely a cause. Still worth investigating, though.
Can you boot into safe mode? If you can, then there may be something with a user profile that's screwing up the resume.