Answer :
Answer:
[tex] t = 0.0588 s^{1.125}[/tex]
For this case we need to replace the value of s = 1640 m in the formula and see what we got:
[tex] t = 0.0588 (1604)^{1.125}= 237.264[/tex]
Step-by-step explanation:
For this case we assume the following function:
[tex] t = 0.0588 s^{1.125}[/tex]
Where s is the distance in meters and t is the time to run that distance in seconds.
Find Kennelly's estimate for the fastest a human could possibly run 1604 meters. (Round to the nearest thousandth as needed)
For this case we need to replace the value of s = 1640 m in the formula and see what we got:
[tex] t = 0.0588 (1604)^{1.125}= 237.264[/tex]
We can also find the derivate of this function respect to the time and we got:
[tex] \frac{ds}{dt}= 0.0588*(1.125) s^{1.125-1}= 0.06615s^{0.125}[/tex]
And that would represent the rate of change of the time respect to the distance travelled.