A person travels along a straight road for half the distance withveloc

1.	A person travels along a straight road for half the distance withvelocity vi and the remaining half distance with velocity v2 Theaverage velocity is given by [MP PMT 2001]
Answer» Let Let T be the time taken by the person to cover complete distance. Case I:let x1 be the half distance covered. speed=v1time taken to cover the first half of the journey :t1=distance/speed=(x/2)/v1 Case IIlet x2 be the half distance covered.speed=v2time taken to cover the second half of the journey :t2=distance/speed=(x/2)/v2 Total time=T=t1+t2=x/(2v1)+x/(2v2) T=x/2[1/v1+1/v2] =x[v1+v2]/2v1v2 Average Velocity= Displacement/ total time=x/x[v1+v2]/2v1v2=2v1v2/(v1+v2) ∴Average velocity is given by 2v1v2/(v1+v2) you are correct i was just testing the app but brainly is much better than this app

A person travels along a straight road for half the distance withvelocity vi and the remaining half distance with velocity v2 Theaverage velocity is given by [MP PMT 2001]

Answer»

Let Let T be the time taken by the person to cover complete distance.

Case I:let x1 be the half distance covered. speed=v1time taken to cover the first half of the journey :t1=distance/speed=(x/2)/v1

Case IIlet x2 be the half distance covered.speed=v2time taken to cover the second half of the journey :t2=distance/speed=(x/2)/v2

Total time=T=t1+t2=x/(2v1)+x/(2v2)

T=x/2[1/v1+1/v2]

=x[v1+v2]/2v1v2

Average Velocity= Displacement/ total time=x/x[v1+v2]/2v1v2=2v1v2/(v1+v2)

∴Average velocity is given by 2v1v2/(v1+v2)

you are correct i was just testing the app

but brainly is much better than this app

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