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 to 10 miles. His formula is given by t= 0.0588s^(1.125) where s is the distance in meters and t is the time to run thatdistance in seconds.a. Find Kennelly's estimate for the fastest a human could possibly run 1609 meters.t= seconds (Round to the nearest thousandth as needed.)

Answer 1

For this problem, we are given a formula that predicts the fastest a human can run a certain distance. We need to determine the time a human can run 1609 meters.

The formula is:

`t=0.0588s^(1.125)`

We need to replace s with 1609 and solve for t.

`\begin{gathered} t=0.0588(1609)^(1.125)\\ \\ t=0.0588\cdot4049.26\\ \\ t=238.096 \end{gathered}`

The fastest a human can run 1609 meters is 238.096 seconds.