In this video I go over an example on average value and show that the average velocity when defined as the change in position over the change in time is equal to the average of the average velocities or the average velocity function.
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Example:
Show that the average velocity of a car over a time interval [t1, t2] is the same as the average of its velocities.
Solution:
By definition, the average velocity of the car, assuming s(t) is the position function, is:
On the other hand the average value of the velocity function is:
