* Air Resistance: Air resistance is a significant factor in how objects fall.
* Flat Sheet: The large surface area of a flat sheet of paper catches a lot of air, creating a substantial amount of drag. This drag force opposes the force of gravity, slowing the paper's acceleration.
* Crumpled Ball: The crumpled ball has a much smaller surface area exposed to the air. This significantly reduces air resistance, allowing it to accelerate closer to the full force of gravity.
In Summary:
* The flat sheet of paper will fall slower and accelerate at a lower rate due to the increased air resistance it experiences.
* The crumpled ball will fall faster and accelerate at a rate closer to the acceleration due to gravity (9.8 m/s²) because of its reduced air resistance.
Important Note: If you were to drop both objects in a vacuum (where there is no air), they would fall at the same rate and accelerate at the same rate due to gravity.
