in reality, a base-stealer leaves when the pitcher throws the ball not the catcher does. the mound is 60 ft, 6 in.s from home plate. if the speed is 90 mph, will the runner (with a lead ) beat the throw?
Converting 90mph to ft/sec = 90mph * [88ft/sec] / [60mph] = 132 ft/s
So....the ball takes 60ft / 132ft/s = about .45 sec to reach home plate
Thus.....if the runner can travel from 1st to 2nd base in under .45 seconds, he will be safe