Question

which is more important between average velocity and instantaneous velocity and why?​

Answer 1

Answer:

This is a specific example of a far more general question about whether reality is ‘continuous’ or ‘discrete’. Can we measure at a point or only over a range? Differential calculus is the ‘kludge’ of regarding a point as an infinitely small range, so you can measure the difference between the position of a point and itself :-)

Which is more important? It depends what you want to know. It is possible that both options are simplified versions of a truth we don’t yet know, but either can be useful.

Explanation:

Answer 2

Both average velocity and instantaneous velocity are important in their own ways, and their relative importance depends on the specific context and application.

Average velocity is important, it provides an overall measure of an object's motion over a time period.

Average velocity can be calculated by dividing the total displacement of object by the time taken to cover that displacement.

Instantaneous velocity is the velocity of an object at a specific instant in time. It is calculated by finding the limit of the average velocity as the time interval approaches zero.

Instantaneous velocity provides information about an object's velocity at a specific moment at a point of time.  

It is useful to know the exact or instant velocity of an object at a particular point in time. In some cases, such as in kinematics problems involving constant acceleration, average velocity, and instantaneous velocity are equal.

Therefore, both average velocity and instantaneous velocity are important in different contexts and applications, and their relative importance depends on the specific problem or situation at hand.

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