Sounds cool really
what sort of subject motion especially attracts your eye?
Think about it... predators do exactly this to look for the slow ones... hmmmm... maybe you're a hunter at heart...!
Hah, no, I'm more interested in recording motion within a still scene than in tracking motion. Thus little interest in most BIF or sports photography but lots in urban scenes with moving people & transportation using shutter speeds in the ~1/4–1/30th sec. range.
Edit: Guillermo's photos below are right in the ballpark.
-Dave-