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Calculus › Limits & the derivative › average velocity

average velocity

Limits & the derivative

Average velocity is a fundamental concept that establishes a direct relationship with instantaneous velocity, both of which are essential in understanding the motion of an object. The computation of average velocity over an interval [a, a+h] is defined by the formula AV_{[a,a+h]} = (s(a+h) - s(a))/h, where h represents a small non-zero change in time.

Interpretation

The interpretation of average velocity centers on its role as a measure of an object's motion over a specific time interval. It represents the ratio of the displacement of the object to the duration of that interval, providing a quantitative description of how the position of the object changes with respect to time.

Conditions and Properties

The average velocity of an object moving in a straight line is defined as the change in position divided by the change in time over a specified interval.

Notes & references