A freely falling object doesn't fall the same distance every second. It accelerates due to gravity, meaning its speed increases over time. Here's how the distance changes:

Understanding the Concept:

* Acceleration due to gravity (g): This is approximately 9.8 m/s² on Earth. It means an object's velocity increases by 9.8 meters per second every second it falls.

* Initial velocity (v₀): For a freely falling object, we usually assume it starts from rest, so v₀ = 0 m/s.

The Formula:

The distance (d) an object falls in a given time (t) is given by:

d = v₀t + (1/2)gt²

Example:

Let's look at the first few seconds:

* Second 1: d = (0 m/s)(1 s) + (1/2)(9.8 m/s²)(1 s)² = 4.9 meters

* Second 2: d = (0 m/s)(2 s) + (1/2)(9.8 m/s²)(2 s)² = 19.6 meters

* Second 3: d = (0 m/s)(3 s) + (1/2)(9.8 m/s²)(3 s)² = 44.1 meters

Key Takeaway:

The distance a freely falling object covers increases significantly with each passing second because of the constant acceleration due to gravity.