* Gravity and Acceleration: The primary factor determining the velocity of a falling object is gravity. The acceleration due to gravity is approximately 9.8 m/s² (32 ft/s²).
* Initial Velocity: The object's starting velocity (if it's not dropped from rest) also affects its final velocity.
* Air Resistance: Air resistance plays a significant role. It slows down falling objects, and its effect depends on factors like the object's shape and size.
To calculate the velocity, you need to know:
1. Initial velocity: Was the object simply dropped, or was it thrown downward (or upward)?
2. Air resistance: Is air resistance negligible (like in a vacuum), or is it significant?
Here's how you could calculate the final velocity in a simplified scenario (ignoring air resistance):
1. Convert units: 30 feet is approximately 9.14 meters.
2. Use the following kinematic equation:
* v² = u² + 2as
* Where:
* v = final velocity
* u = initial velocity (0 m/s if dropped)
* a = acceleration due to gravity (9.8 m/s²)
* s = distance (9.14 m)
3. Plug in the values and solve for v:
* v² = 0² + 2 * 9.8 * 9.14
* v² = 179.3
* v ≈ 13.4 m/s
Important Note: This calculation is a simplified approximation. In reality, the object's final velocity would be less due to air resistance.
