Average velocity and speed, Physics

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The average speed of a substance in a given interval of time is explained as the ratio of the distance done to the time taken whereas; average velocity is explained as the ratio of the displacement to the time taken.

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If a particle travels from A to C by a path ABC. Then distance   covered is the real covered length ABC, while the displacement is,

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Therefore, if the distance covered is   and displacement of a particle is   in a needed time interval   then

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