As a tornado moves, its speed increases. The function S (d ) = 93 log d + 65 relates the speed of the wind, S, in miles per hour, near the center of a tornado to the distance that the tornado has travelled, d, in miles. a. Calculate the average rate of change for the speed of the wind at the center of a tornado from mile 10 to mile 100.
b. Estimate the rate at which the speed of the wind at the center of a tornado is changing at the moment it has travelled its 10th mile and it’s 100th mile.