Understanding the Physics

* Acceleration due to gravity (g): The Earth pulls objects towards its center with an acceleration of approximately 9.8 m/s². This means the ball's speed increases by 9.8 meters per second every second it falls.

* Initial velocity (v₀): Since the ball is dropped, its initial velocity is 0 m/s.

* Time (t): The ball falls for 3.3 seconds.

* Final velocity (v): This is what we need to find.

The Formula

We can use the following formula to find the final velocity:

v = v₀ + gt

Calculation

1. Plug in the values:

v = 0 + (9.8 m/s²) * (3.3 s)

2. Calculate:

v = 32.34 m/s

Answer

The final velocity of the ball after 3.3 seconds is approximately 32.34 m/s.