Final answer:
The ball is in the air for 0 seconds and its speed at the instant it leaves the table is equal to the speed of the rolling ball.
Step-by-step explanation:
In projectile motion, when a small ball rolls horizontally off the edge of a tabletop, it travels in a parabolic trajectory. To determine how long the ball is in the air, we can use the equation for time of flight in projectile motion: t = 2 * (vertical distance / vertical component of velocity). Since the ball is rolling horizontally, the vertical component of velocity is 0, and thus the time of flight is 0.
As for the speed of the ball when it leaves the table, we can use the horizontal component of velocity, which remains constant throughout the motion. The horizontal component of velocity is the speed of the ball rolling off the table. So the speed at the instant it leaves the table is equal to the speed of the rolling ball.