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a body covers a half distance v1 and remain half with v2 between two station find average velocitt
Let the total distance be 2d.Velocity for half distance =v1Time taken to cover d distance=t1=d/v1 Velocity for other half=d/v2Time taken to cover this distance=t2=d/v2Total time=t1+t2=d/v1+d/v2=d (1/v1+1/v2)=d{ (v2+v1)/v1v2}Now avg velocity=Displacement/Time=2d/d{ (v2+v1)/v1v2}=2v1v2/v2+v1.
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