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Galileos Problems with Measurements to Test Hypothesis
Part 1:
Galileos inability to make direct measurements to test his hypothesis that Dv/Dt is constant in free fall did not stop him. He turned to mathematics to derive from this hypothesis some other relationship that could be checked by measurement with equipment available to him. ... After thinking it through, he came up with the formula
vav = Dd/Dt
This is a general definition and can be used to compute the average speed from measurement of Dd and Dt, no matter whether Dd and Dt are small or large. ... Realizing that a direct quantitative test with a rapidly and freely falling body would not be accurate, Galileo proposed to make the test on an object that was moving less rapidly. He proposed a new hypothesis:
If a freely falling body has an acceleration that is constant, then a perfectly round ball rolling down a perfectly smooth inclined plane will also have a constant, though smaller, acceleration.
Approximate Word count = 730 Approximate Pages = 2.9 (250 words per page double spaced)
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