   Chapter 2, Problem 7CQ

Chapter
Section
Textbook Problem

(a) Can the instantaneous velocity of an object at an instant of time ever be greater in magnitude than the average velocity over a lime interval containing that instant? (b) Can it ever be less?

To determine
The possibility of instantaneous velocity is greater than the average velocity and the possibility of instantaneous velocity is less than the average velocity.

Explanation

The instantaneous velocity is defined as the velocity of object at a definite time and the average velocity is defined as the total change in displacement over a time interval.

Instantaneous velocity is similar to average velocity. However, the period of time is reduced to zero and the velocity is found at a specific time. This can be higher than the average velocity since the average velocity is the average of the instantaneous velocities at each instant in the interval. If the instantaneous velocity is higher than the average velocity at any instant, then the instantaneous velocity will be less than the average velocity or zero at later instants to balance the average velocity...

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