A ball rolls off the edge of a level tabletop. It travels 36.5 cm horizontally and falls a vertical distance of 81.9 cm. What is the magnitude and direction of the velocity of the ball at the instant it reaches the floor?

free-fall time (t) ... 81.9 cm = 1/2 g t^2

horiz velocity = 36.5 cm / t

vert velocity = g t

the velocity is the resultant of the horiz and vert components