Understanding the Physics

* Horizontal Motion: The ball's horizontal velocity remains constant since there's no force acting on it in that direction (ignoring air resistance).

* Vertical Motion: The ball accelerates downwards due to gravity.

Calculations

1. Horizontal Distance:

* Since the horizontal velocity is constant, we can use the formula:

Distance = Velocity x Time

Distance = 2 m/s x 3 s = 6 meters

2. Vertical Distance (for completeness):

* We can use the following kinematic equation to find the vertical distance the ball falls:

Distance = Initial Velocity x Time + (1/2) x Acceleration x Time²

* Initial velocity in the vertical direction is 0 m/s.

* Acceleration due to gravity is 9.8 m/s².

* Distance = (0 m/s x 3 s) + (1/2) x 9.8 m/s² x (3 s)² = 44.1 meters.

Answer

The horizontal distance traveled by the ball is 6 meters.