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So I know two objects will fall at the same rate if air is excluded, so what I am asumming its that free fall formula is only correct if there's no air, right?

So I am a programmer and I want to implement a little of physics, let's say a object weight 1 pound and another weights 10 pounds, I know it will fall at the same speed/rate , if there's no air? but what if i want to consider air, and weight, the heavier object from my logic will fall faster and will touch the ground faster.

So the free fall formula is not what I am looking for? what formula should i consider?

Thanks!