ok so i just bought this ibook and safari keeps quiting !!!!

Hi, and welcome to Apple Support Communities.

Which version of Safari are you using?

You may want to try asking about this in the Safari Discussions.

https://discussions.apple.com/community/mac_os/safari?view=discussions

Which exact iBook model is it?

You can choose from this list:

http://www.everymac.com/systems/apple/ibook/index-ibook.html

Which version of the operating system is it running now? (I take it that it is running Mac OS X 10.3?)

Are any other browsers installed? If so, do they work?