Cursor problems

Alright, so I go on my Mac, and I try to open Safari. After a little less than a second, the cursor teleports back to where it started. Every time I try to move it, it goes back. I can still use it, but I must swiftly move the mouse and click before it goes back. I purchased this iMac Feb. 2010. The Magic Mouse was working fine before. The iMac is a Mac OS X version 10.6.2, with (I think) a 3.06 GHz Intel Core 2 Duo processor, and I've never had virus problems in the past. The mouse battery is 100%. I can use any application and run any program, but again, must move the cursor quickly before going back to the same place, which is about in the middle of the screen vertically, but on the left-hand side of the screen. I NEED to use this computer, as I do projects concerning Adobe programs and Adobe Flash Player. I have to popst this from my iPad, as it is too painful to try to navigate to this page from the iMac. Is this problem tracking-pad related? Virus related? And does anyone know if or how it can be solved? Any help would be appreciated.