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Motion in Straight Line

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Physics Part I

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Physics

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CBSE Gujarat Board Haryana Board

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Class 10 Class 12
Explain clearly, with examples, the distinction between:
b) The magnitude of average velocity over an interval of time, and the average speed over the same interval. [Average speed of a particle over an interval of time is
defined as the total path length divided by the time interval].
Show in both (a) and (b) that the second quantity is either greater than or equal to the first. When is the equality sign true ? [For simplicity, consider one-dimensional
motion only.]




Magnitude space of space average space velocity space equals space fraction numerator Magnitude space of space displacement over denominator Time space interval end fraction

For space the space given space particle comma space

Average space velocity space equals space AC over straight t

Average space speed space is space given space by comma space

fraction numerator Total space path space length over denominator time space interval end fraction space equals space fraction numerator AB space plus space BC over denominator straight t end fraction

Since (AB + BC) > AC, average speed is greater than the magnitude of average velocity.

The two quantities will be equal if the particle continues to move along a straight line.


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