d = (1/2)gt²
Where:
* d is the distance fallen
* g is the acceleration due to gravity (approximately 9.8 m/s²)
* t is the time in seconds
Let's plug in the values:
* d = (1/2) * 9.8 m/s² * (2.56 s)²
* d = 4.9 m/s² * 6.5536 s²
* d ≈ 32.17 m
Therefore, an object will fall approximately 32.17 meters in 2.56 seconds.