So can I take it that you have formed no conclusions from the collapse of WTC2?
First off, I am very grateful for your response to my question, particularly as I was beginning to worry no one would. That said, my only conclusion on the collapse of the towers is that gravity was not the only force involved. However, I implore you to set aside our differences in conclusions there, without any regard to to other matters but
these collapses which we all can agree were most certainly caused by gravity alone (aside from the initial push out force of course). So, on to that:
At the time of impact, let's define our terms such that the upper block is moving downwards with a velocity -V, where positive is defined as upwards, and accelerating with an acceleration -A, which is close to gravitational acceleration.
I am in agreement with you here, though if we actually go though the math I'd prefer to flip the convention, making down positive and up negative, just to keep it mostly positive.
The upward force F exerted on the upper block results in an acceleration +A1, which varies with time. This adds to the acceleration due to gravity to give a total acceleration A1-A.
Surely you mean the force F exerted by the lower block on the upper one subtracts from the acceleration of that upper block? Like if you jump down onto a gymnastics mat it subtracts from your acceleration, slowing your fall. We have two forces here, but only one acceleration. As for the effect of that force F on the acceleration A:
Since the lower block is able to support the static weight of the upper block, then the maximum value of A1 is expected to be greater than that of A, resulting in an overall deceleration...
Rather, the upward force of the lower block is expected to be greater than the weight of the upper block, the lower block having held that upper block in place prior to the section between the two being pushed out. It is this net upward force which results in the deceleration you mention. Agreed?
The velocity of the upper block increases, therefore, up to the impact, then decreases very briefly while the impact takes place. Once the next set of floor supports has been destroyed, the upper block then accelerates with acceleration -A until it hits the next floor of the lower block. The velocity will be observed to increase up to the point of impact, decrease briefly, then increase further up to the point of impact of the next floor (which takes place at a greater velocity), and so on. Averaged over the entire collapse, there is a net acceleration. This has been verified by measurements of the Balzac-Vitry collapse.
Now, from the bold is where I'm not following you at all. You are speaking of the floor supports being destroyed in instances, with periods of free fall between them. I'd like to see the measurements you refer too, but in
these collapses I've been speaking of, it is not just floors falling one on top of each other, but the whole structure being crushed down, concrete walls and all. There is no chance of freefall after the initial collision, as there is constantly mass acting as resistive force in the way. Also, I dug up video of this
Balzac-Vitry collapse which I'm guessing might be the one you refer to, but surely you are not suggesting there is any free fall after the initial collision in that?