Great graph Tom. I'm gonna link to it when discussing issue with average Truthers when they scream 'freefall' like squawking parrots.
'Freefall = CD! Freefall = CD! Squawk! Inside Job! Larry Silverstein! Squawk!' (parrot shown here with a set of Richard Gage
Playblocs for Truthers® - these are gonna be a big hit for Xmas 2006!)
http://upload.wikimedia.org/wikipedia/en/1/12/Alex_the_Parrot.jpg
Yeah, it kinda tells the story.
femr's approach leaves a little to be desired, but it ain't horrible thru the regions of interest. (It is horrible before the building begins to descend.)
The last I heard on this, he was using an absurdly high order (around 50) polynomial.
A far better approach is to fit a series of much lower order polynomials (say, around 3rd to 5th order) over short intervals of the data, matching up magnitudes and derivatives at the junctures between segments. Mathematica or MatLab can implement this easily.
The big advantage of this technique is that all the various segments can be adjusted to fit the local data set quite well, without affecting the whole curve. Much more freedom of choice for the coefficients to match changing frequency events, and the curve can adapt to real discontinuities (such as the start of collapse).
[You can see that femr's curve cannot reflect the very real discontinuity when the building suddenly begins to collapse (i.e., below 12 seconds on this timeline). The acceleration therefore takes off for low values of time (pre-collapse) to numbers like +30 +40 ft/sec^2.]
But that's a relatively small detail.
The interesting point is the shape. Which doesn't match a real free fall at all.
A second significant point is that Chandler - by the very act of choosing to fit a least squares LINEAR regression to the data - FORCED a constant acceleration to emerge from his analysis. Ain't no wonder that he got a constant acceleration. Ain't no accident either. Doesn't matter in the slightest how scattered the data set is. If you fit a linear curve to the velocity, you will ALWAYS get a constant acceleration.
tom
PS. Not surprising in the least that femr has chosen to not respond to my question about the similarity of the curves.
So much for a "seeker of the truth", eh??
