I don't really know why I bother. MM is stubbornly, determinedly uneducable on this, or apparently almost any, scientific or engineering principle.
But for the others, here is a perfect example of something that "makes common sense" to someone, but is totally, 100% wrong.
Dave Thomas said:
[Dave gives example of ball tossed in air, where v=0 and a=-g at its apex.]
Only if you wish to turn this into a 'red herring' of a college course David.
Wrong, MM.
Dave gave you a perfect example which clearly demonstrates the difference between instantaneous a & instantaneous v.
The precise point which seems to be eluding you.
Regarding your irrelevant comparison example of the upwardly tossed ball.
There is an easy to use word in the english language which clearly describes the motion condition of your upwardly moving ball when is "falling at zero velocity over a zero period of time". It is called stopped David. From that extremely brief "stopped" condition, T=0, it will enter into a state of freefall or an acceleration of 1G.
I gather the whole thrust of your argument is to bog me down in superfluous academic excreta and to drive visitors away by boring them to death.
And this is the point that is interesting to mathematicians, experimentalists and first semester high school calculus students alike.
0/0 does NOT equal 0.
It can equal any number.
The physical representation of this concept is a photograph of some object (moving or stationary) taken with a very short exposure time (e.g., short strobe pulse or very fast shutter speed).
A photo, taken at say 1/10,000th of a second shows an object. In the photo, the object does not move at all, and the time of the exposure is approximately zero. That is: d=0 and t=0.
From this photo, you can tell absolutely nothing about its velocity.
Its velocity could be zero, 1 ft/sec, 10 ft/sec, -100 ft/sec, or a million mph.
[BTW, 1/10,000th of a second is, literally, an eternity compared to a true "zero time interval". Just thought you should know.]
It does not alter the engineering facts required for WTC7 to be in a state of freefall for 100 feet.
WTC7 was never "in a state of freefall for 100 feet".
This is your constant error, confusing "the building" with "its exterior walls". Until you correct this error in your head, no steps forward are possible.
This illusion is proven by the collapse of the penthouse. Maintaining this confusion is exactly why you choose to ignore the collapse of the penthouse.
Moreover, despite what Chandler says, not even the exterior walls were "in free fall".
Here (again… 200th time…) is a graph of accelerations with high resolution (i.e., all frames, instead every 5th frame):
1. The acceleration of an object whose supports are suddenly removed (red line), versus
2. The acceleration of the north west corner of WTC7.
It's average acceleration was close to G. But it fell nothing like something in free fall.
It does not alter the fact that at least 100 feet of zero structural resistance must have existed for the NIST's WTC7 global collapse Stage 2 freefall to have occurred.
once again, you don't seem to appreciate the difference between "a small number" and "zero". That is your limitation.
And I doubt it was possible, considering the rather crude video measurements available to the NIST, for them to precisely state that Stage 1 was a perfectly smooth zero to 1G acceleration over 1.75 seconds.
Objects that enter free fall by some mechanism like explosive removal of their supports do NOT have their accelerations gradually increase from zero to G. This is another example of your confusing velocity with acceleration.
The velocity gradually increases. The acceleration goes instantly to G. No gradual buildup. Just like the red line in the graph above.
It is good to see you acknowledge that at Time = zero (start of Stage 1), that WTC7 had a global collapse acceleration of zero.
The use of "near freefall" to characterize the Stage 1 portion of the WTC7 collapse, is clearly intended to convey a relative value to the observed descent. This would seem to be a fair description given that after 1.75 seconds, WTC7 was in freefall.
Anyone who says it was in "near free fall" during Stage 1 doesn't know what they are talking about.
Anyone who says that the acceleration increased gradually from 0 to G during Stage 1 doesn't know what they are talking about.
I make no lofty claims as to being an authority.
Understatement of the month.
The vast majority of technical comments that you make are simply wrong.
Maybe if you showed some deference to the engineering reality of what amazingly happened to WTC7, David, you might earn the authority that you so arrogantly attempt to promote.
MM
You haven't the qualifications, measured either by diplomas on the wall or by comprehension, to comment on "engineering reality".
Sorry for the harsh truth. But that IS "engineering reality".