Answer to Question #229398 in Classical Mechanics for Haroun

Question

A small ball rolls horizontally off the edge of a tabletop that is 1,2 m high. It strikes the floor at a point 1,52 m horizontally away from the edge of the table.

1. How long is the ball in the air?
2. What is the speed at the instant it leaves the table?

Answer 1

1)

$t=\sqrt{\frac{2h}g}=0.5~s,$

2)

$v_y=\sqrt{2gh}=4.85~\frac ms,$

$v_x=l/t=3.04~\frac ms,$

$v=\sqrt{v_x^2+v_y^2}=5.72~\frac ms.$