Can a Boeing 767 (or Boeing 757) fly at 500mph+ at 700 feet altitude?

This question has arisen because of several electronic postings:

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email messages:

See and hear it on YouTube

By Jeff Hill:
Interesing phone calls to Boeing on 09/18 and 09/19 2007.

http://www.youtube.com/watch?v=x2upl977dsY

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Internet references such as:

YouTube - Flight 175 - Impossible speed

Therefore,thrust must increase 134-fold to maintain the same 542 mph it had at 35000' altitude down at 1000'
altitude because drag is 134x greater at 1000' ...
www.youtube.com/watch?v=x2upl977dsY - 117k - Cached - Similar pages - Note this

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Pilots For Truth -> Fl175 Cruise Speed, Could It Be?

thrust must increase 134-fold to maintain the same 542 mph it had at > 35000' altitude down at 1000' altitude
because drag is 134x greater ...
z9.invisionfree.com/Pilots_For_Truth/index.php?showtopic=9115&view=getlastpost - 58k - Cached - Similar pages -
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Can a Boeing 767 (or Boeing 757) fly at 500mph+ at 700 feet altitude?
For what it's worth, here is my take on the question,
The answer is that there is uncertainty about the maximum possible speed of a Boeing 757 or 767 at 700 ft.

This information was supplied to Jeff Hill. His response to me, and my response to him