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Science Fiction
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"We didn't have a telephone and our family until I was about 15, in high school."
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This piece of technovelgy gives a great illustration of the fastest way to get from point A on the surface of the earth to another surface point B.
The ingenious solution is to dig a tunnel from one point to the other, using the force of gravity to provide some of the acceleration. The beauty of this approach is that, in a frictionless environment, you can speed the train on its way without having to apply any energy - and slow it down the same way!
The questions (for you engineers) are: what is the best shape (or curve) for the tunnel, and how can you avoid those pesky underground temperatures and pressures? See this article on the brachistochrone problem, one of the earliest problems posed in the calculus of variations. Newton solved this problem from scratch in one day in 1696; got your pencil? Ready, set ... go! Comment/Join this discussion ( 1 ) | RSS/XML | Blog This | Additional
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Science Fiction
Timeline
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'Our study of your race has convinced us that you are not fitted to leave your planet in the present state of your civilization.'
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'...the spreading beam of the deranging ray struck them, and Then one toppled and fell. Then another.'
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'Young people found the driverless car admirable for petting.'
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'After twenty generations of shillyshallying...'
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