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Avg velocity = total displacement/time
Avg speed= total distance / time
To consider the magnitude take mod on both side.
Which means mod of total displacement equals to total distance.
So in case of straight line motion |total displacement| = |distance|.
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When an object is moving in a straight line and in the same direction, the total distance covered and the total displacement is the same. The average velocity and average speed are then the same.
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If the total distance covered by an object is the same as its displacement, then its average speed would be equal to its average velocity.
read lessWhen the magnitude of displacement done by the object is the same, magnitude of total distance covered and in the same direction than the magnitude of average velocity is equal to the magnitude of average speed. As displacement is a vector quantity and it varies as the direction changes, but the distance covered will not depend on the direction as it will be equal to total path covered. Displacement could be negative , zero,and positive but the distance is always non-negative.
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