v = gt
Where:
* v is the final velocity (m/s)
* g is the acceleration due to gravity (approximately 9.8 m/s²)
* t is the time elapsed (s)
Important Notes:
* This formula assumes that the object starts from rest (initial velocity = 0).
* Air resistance is ignored in this formula. In reality, air resistance will affect the velocity of a falling object.
* The direction of the velocity is downwards, as the object is falling.
Example:
If an object falls for 5 seconds, its final velocity would be:
v = 9.8 m/s² * 5 s = 49 m/s
Other Formulas:
If the object has an initial velocity (v₀) and you want to find the final velocity after a certain distance (d), you can use the following formula:
v² = v₀² + 2gd
This formula is derived from the equation of motion:
v² = v₀² + 2as
where a is the acceleration (g in this case) and s is the distance (d).
