Kimberly and Varag are in a bicycle race.
For parts (a) and (b), each is a different application of Mean Value. Pay attention to the given information and read carefully.
If Kimberly’s velocity in miles per hour during the race is
, calculate her average velocity during . Describe your method.
If Varag’s distance from the starting line during the race is
, calculate his average velocity during . Describe your method.
When is each bicyclist traveling at his/her average velocity?
This is an application of Mean Value Theorem, which states that a function (such as a velocity function) must equal its average value at least once on a closed interval (that is, if the function is continuous and differentiable).