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7-42.

Kimberly and Varag are in a bicycle race. Homework Help ✎

For parts (a) and (b), each is a different application of Mean Value. Pay attention to the given information and read carefully.
See Math Notes below.

  1. If Kimberly’s velocity in miles per hour during the race is , calculate her average velocity during . Describe your method.

    Average Velocity = 16.102 mph

  2. If Varag’s distance from the starting line during the race is , calculate his average velocity during . Describe your method.

    Average Velocity mph

  3. 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).
    See Math Notes below.