Question: In 1906 Kennelly developed a simple formula for predicting an upper limit on the fastest time that humans could ever run distances from 100 yards

In 1906 Kennelly developed a simple formula for predicting an upper limit on the fastest time that humans could ever run distances from 100 yards to 10 miles. His formula is given by

where s is the distance in meters and t is the time to run that distance in seconds.

(a) Find Kennelly’s estimate for the fastest mile.
(b) Find dt/ds when s = 100 and interpret your answer.
(c) Compare this and other estimates to the current world records. Have these estimates been surpassed?

t = 0.0588s.125

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t 00588s 1125 a When s 1609 t 2381 seconds or 3 minutes ... View full answer

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