* We need to know the time it takes to fall. The velocity of a falling object constantly increases due to gravity. To calculate velocity, we need to know how long the stone falls.
* Air resistance is a factor. In reality, air resistance will slow the stone down. To get a precise answer, we'd need to consider air resistance (which is complex and depends on factors like the stone's shape and size).
Here's how to calculate the velocity if you *do* know the time:
1. Acceleration due to gravity: The acceleration due to gravity on Earth is approximately 9.8 m/s². This means the stone's velocity increases by 9.8 meters per second every second it falls.
2. Formula: Velocity (v) = Initial Velocity (u) + Acceleration (a) * Time (t)
* Since the stone is dropped, its initial velocity (u) is 0.
* So, the formula becomes: v = 9.8 m/s² * t
Example:
Let's say the stone takes 8 seconds to fall.
* v = 9.8 m/s² * 8 s
* v = 78.4 m/s
Important Note: This calculation ignores air resistance. In reality, the stone's velocity would be slightly lower than 78.4 m/s.
