Understanding the Concepts

* Free Fall: When an object falls under the influence of gravity alone, we call it free fall.

* Acceleration due to Gravity: The acceleration of an object in free fall is approximately 9.8 m/s². This means the object's speed increases by 9.8 meters per second every second.

* Initial Velocity: The stone starts from rest, so its initial velocity (v₀) is 0 m/s.

* Final Velocity: This is what we need to find.

Using the Formula

We can use the following kinematic equation to find the final velocity (v):

v = v₀ + at

Where:

* v = final velocity

* v₀ = initial velocity (0 m/s)

* a = acceleration due to gravity (9.8 m/s²)

* t = time (6 seconds)

Calculation

1. Plug in the values:

v = 0 + (9.8 m/s²)(6 s)

2. Calculate:

v = 58.8 m/s

Answer: The final speed of the stone when it hits the bottom of the well is 58.8 m/s.