My nikon d3000 auto modes shutter speeds are extemely slow?
On everything but shutter and manual priority its shutter speeds are 1/2 and something like 3''
Are you shooting in the (near) dark? If there isn't enough light, and/or the aperture is too small, your camera has no choice but choose a slow shutter speed in order to get a decent exposure.
There isn't enough light so the shutter has to stay open for a longer time to let in more. I would really recommend reading up on exposure (if you haven't already) so you know what to do when something like this happens again.
Then start using your DSLR like it is supposed to be used, on manual mode. Auto modes on DSLRs are for posers.
Sounds like you're using low ISO, lower apertures, and are in low-light. Increase your ISO and your camera will have the ability to shoot with faster shutterspeeds. The other choice is to open up your aperture in A mode to the widest setting possible.
Haha! You are shooting in the dark. What is low light to you might as well be total pitch black darkness to a camera.