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Question

The relation between time t and distance x is t=αx2+βx where α and β are constants. Then 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 D 2αv3
t=αx2+βx
Differentiating with respect to x we get
dtdx=2αx+βv=12αx+βdvdt=a=2α(2αx+β)3=2αv3

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