Question: Wind chill Dr. Paul Siple conducted studies testing the effect of wind on the formation of ice at various temperatures and developed the concept of the wind chill, which we hear reported during winter weather reports. Using Siple's original work, if the air temperature is 25°F, then the wind chill, WC, is a function of the wind speed, s (in mph), and is given by
WC = f(s) = 45.694 + 1.75s - 29.26√s
(a) Based on the formula for f(s) and the physical context of the problem, what is the domain of f(s)?
(b) Find f(10) and write a sentence that explains its meaning.
(c) The working domain of this wind chill function is actually s ≥ 4. How can you tell that s = 0 is not in the working domain, even though it is in the mathematical domain?