CPM Homework Help : CALC Problem 7-45

Kimberly and Varag are in a bicycle race. Homework Help ✎
1. If Kimberly's velocity in miles per hour during the race is v(t) = 2.3^t sin, find the bicyclist's average velocity during 0 ≤ t ≤ 6. Describe your method.
2. If Varag's distance from the starting line during the race is s(t) = 20t + 2 sin(t), find his average velocity during 0 ≤ t ≤ 6. Describe your method.
3. When is each bicyclist traveling at his/her average velocity?

Hint:

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.

Answer (a):

Average Velocity = 16.102 mph

Answer (b):

Average Velocity = 19.907 mph

Hint (c):

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.