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Instant Speed
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The average velocity is defined by considering the distance traveled over an elapsed time interval, without accounting for potential velocity fluctuations.
To determine velocity at a specific instant, it is necessary to consider an infinitesimally small time interval so that the velocity remains nearly constant within that interval.
This leads to the calculation of instantaneous velocity by computing the average velocity in the limit as the time interval approaches zero. Mathematically, this corresponds to the derivative of position with respect to time and represents the slope of the position-time curve.
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