In 1907 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 given by t=.0588s^1.125 where s is the distance in meters and t is the time to run the distance is seconds.
a. Find Kennelly's estimate for the fastest a human could possibly run 1609 meters.
t=
well, what is .0588 * 1609^1.25 ?
To find Kennelly's estimate for the fastest a human could possibly run 1609 meters, we can substitute s = 1609 into the given formula t = 0.0588s^1.125.
So, t = 0.0588 * (1609)^1.125.
To evaluate this expression, we can first calculate (1609)^1.125.
(1609)^1.125 = 5183.021126.
Now, we substitute this value back into the formula:
t = 0.0588 * 5183.021126.
Evaluating this multiplication:
t ≈ 304.146 seconds.
Hence, Kennelly's estimate for the fastest a human could possibly run 1609 meters is approximately 304.146 seconds.