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What is the quantity which is measured by the area occupied below the velocity-time graph?

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The graph shows the velocity−time graph of a uniformly moving body.

Let the velocity of the body at time (t) be v.

Area of the shaded region = length × breath

Where, Length = t, Breath = v

Area = vt = velocity × time …(i)

∴ Distance = Velocity × Time…(ii)

From equations (i) and (ii), Area = Distance

Hence, the area occupied below the velocity−time graph measures the distance covered by the body.

+1 vote
by (128k points)

The quantity of distance is measured by the area occupied below the velocity time graph. 

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