Understanding the Concepts
* Gravity: The primary force acting on the object is gravity, which pulls it downwards with an acceleration of approximately 9.8 m/s². This is denoted by 'g'.
* Free Fall: Free fall means the only force acting on the object is gravity. No other forces are considered, such as air resistance.
* Initial Velocity: The initial velocity of the object (the velocity at the moment it starts falling) is denoted by 'v₀'.
The Formula
The velocity (v) of a freely falling object after a time (t) is given by:
v = v₀ + gt
Explanation
* v₀ + gt: The object's initial velocity (v₀) is added to the change in velocity due to gravity's acceleration (gt).
Example
Let's say an object is dropped from rest (v₀ = 0 m/s) and falls for 3 seconds:
* v = 0 + (9.8 m/s²) * (3 s)
* v = 29.4 m/s
Important Considerations
* Air Resistance: In reality, air resistance significantly affects falling objects. The heavier and more streamlined the object, the less impact air resistance will have. This formula is a simplification.
* Near the Surface: The acceleration due to gravity (g) is assumed to be constant near the Earth's surface. As you move further away from the Earth, 'g' decreases.
Let me know if you have any other physics questions!
