* Gravity: The acceleration due to gravity is the primary factor in how fast an object falls. This acceleration is approximately 9.8 m/s², but it can vary slightly depending on location.
* Initial Velocity: Is the object dropped (starting at 0 velocity) or thrown? If it's thrown, we need to know the initial upward or downward velocity.
Here's how to calculate the distance using the information:
1. If the object is dropped (initial velocity = 0):
* Formula: Distance = (1/2) * acceleration * time²
* Substitute: Distance = (1/2) * 9.8 m/s² * (9 s)²
* Calculate: Distance ≈ 396.9 meters
2. If the object is thrown:
* Formula: Distance = initial velocity * time + (1/2) * acceleration * time²
* Substitute: You'll need the initial velocity (v₀) in meters per second.
* Calculate: Distance = (v₀ * 9) + (1/2) * 9.8 * (9)²
Example: If the object is thrown upwards at 10 m/s:
* Distance = (10 * 9) + (1/2) * 9.8 * (9)²
* Distance ≈ 522.3 meters
Remember:
* This calculation assumes no air resistance, which can affect the actual distance traveled.
* The distance calculated is the total vertical distance, not the horizontal distance if the object is thrown at an angle.
