Average velocity and speed, Physics

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The average speed of a substance in a given interval of time is described as the ratio of the distance completed to the time taken while; average velocity is described as the ratio of the displacement to the time taken.

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

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Thus, if the distance covered is  and displacement of a particle is  in a required time interval  then

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