Answer Posted / john rhoades

All the above answers are correct, but don't actually answer the question.

The reason is that the aspect of an object that makes it attracted by gravity (it's mass), is the same aspect that works against acceleration (it's mass). More massive objects take more effort to accelerate, a notion everyone, I hope, understands. Gravity DOES pull more massive objects harder, however, it takes more pull to get massive objects to move, meaning the acceleration remains the same for both heavier and lighter objects.

In [SIMPLIFIED] equations:

Acceleration = Force/Mass, Force = Gravity*Mass, therefor Acceleration = Gravity*Mass/Mass = Gravity

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