To find out if two objects fall at the same rate, you have to find their final velocity. To do this I used the equation V_{2}^{2}=(V_{1}^{2})+2(a)(d). If I recorded that object 1 fell at 5 m/s and had an initial velocity of 0 and fell a distance of 30 meters then:

V_{2}^{2}=(0)+2(5m/s)(30m)

V_{2}^{2}=300m/s

Now say Object 2 is double the weight and has double the acceleration than Object 1 then,

V_{2}^{2}=(0)+2(10m/s)(30m)

V_{2}^{2}=600m/s

This clearly shows that if an object with 2x the weight falls 2x faster. This shows that all objects fall at the same RATE (not accelerate) according to their weight (not density).

If Object 2 has double the weight, why does it have double the acceleration? If you are suggesting that this is resulted from gravitational acceleration, gravitational acceleration is the

*same* for both objects, assuming that you are doing both experiments at the same location on Earth, probably in a vacuum. Weight takes no part in your equations...

So the '2x' acceleration has to come from somewhere. Why can't I say Object 3 has the same weight as Object 1 and has double the acceleration instead?!

May chaos be on you.