Not too smart, but they can fly real well (at least our easterns can). I ride dirtbikes and 4 wheelers alot for fun, and more than once have come over a hill to surprise a bird into flight. One time a hen ran away and burst into flight on a tree lined road, I was below/close behind her for at least 300yrds before I let off so she could get away (illegal to harass game animals out of season up here).
How do you think they roost, anyone ever seen a turkey CLIMB a tree?