EDIT: I didn’t expect this post to become popular and result in some smarter people exposing my awful math. So here’s a disclaimer: I simplified the scenario, rounding up the g and not taking into account drag coefficient, to see if it was possible to crunch numbers on the run (of course it’s possible, he’s the goddamn Batman). The cape and the fall trajectory have been dramatized for illustrative purposes, but the actual movie sequence mimics free-fall.
Christian Bale is an awesome actor, but did you know that he’s equally awesome at free fall equations?
A follow-up to Bateman Physics, this graphic shows the conclusion of Batman chasing Scarecrow in The Dark Knight: