Green’s Dictionary of Slang

to travel at high speed, to leave; thus balling n. and adj., travelling at high speed.

1939		W. Attaway Let Me Breathe Thunder (1940) 218: He was being dragged to the open door of the ‘balling’ car. The kid gave a sharp cry.
1951		Kerouac On the Road (The Orig. Scroll) (2007) 125: The Rock Island [i.e. a train] balled by. We saw the faces of Pullman passengers go by in a blur.
1957		Kerouac On The Road (1972) 18: He balled that thing clear to Iowa City.
1997–2000		College Sl. Research Project (Cal. State Poly. Uni., Pomona) 🌐 Ball (verb) To leave. [University of Michigan, Ann Arbor, MI; in Da Bomb].
1997–2001		Online Sl. Dict. 🌐 ball out v 1. to leave. (‘The police showed up at the party and we balled out.’).