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 equals . 0588 s Superscript 1.125 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:

Step-by-step explanation:

For this case we assume the following function:

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:

We can also find the derivate of this function respect to the time and we got:

And that would represent the rate of change of the time respect to the distance travelled.  

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1