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Question

The relation between time and distance is t=αx2+βx where α and β are constants. The retardation is


A

2αv3

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B

2βv3

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C

2αβv3

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D

2β2v3

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Solution

The correct option is A

2αv3


dtdx=2αx+β

v=12αx+β

a=dvdt=dvdx.dxdt

a=vdvdx=v.2α(2αx+β)2=2α.v.v2=2αv3

Retardation = 2αv3


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