No credit.Wanting to buy a used car from a dealer.?

I have no credit. Im 20 years old and have been working 40 hours a week for the past 3 years. i still live at home and i make over 1grand a month .My checks dnt go any where besides for my cell phne bill and the rest is to save. I have 3grand save for a dwn payment on a used car. with my mother co-signing do you the reader think i would be able to get this used car under my name?