Understanding the Physics

* Free Fall: An object in free fall experiences only the force of gravity. We assume no air resistance in this calculation.

* Acceleration due to Gravity: The acceleration due to gravity (g) is approximately 9.8 m/s². This means an object's speed increases by 9.8 meters per second every second it falls.

* Initial Velocity: We'll assume the object starts from rest, meaning its initial velocity (v₀) is 0 m/s.

Formula

We can use the following formula from kinematics:

v = v₀ + at

where:

* v = final velocity (what we want to find)

* 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

Important Note: The mass of the object (8 g) is not relevant in this calculation. In a vacuum, all objects fall at the same rate regardless of their mass.

Therefore, the speed of the object after falling for 6 seconds is 58.8 m/s.