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Speed is to move very fast or move quickly.
Velocity is the speed of something in a given direction or in a given path.
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Speed : the speed of a body is defined as the distance as the distance travelled by it per unit time 

speed = distance travelled 
               time taken 

velocity : velocity of a body is the distance travelled by it per unit time in a particular direction .

velocity = displacement             ...
                 time taken 

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