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Q.

The relation between time t and distance x is t=ax2+βx where α and β are constants. The retardation is

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a

2αv3

b

2βv3

c

2αβv3

d

2b2v3

answer is A.

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Detailed Solution

t=αx2+βxDifferentiating: 1=2αdxdt⋅x+βdxdt         v=dxdt=1β+2αx;dvdt=−2αv(β+2αx)2=−2αv3
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The relation between time t and distance x is t=ax2+βx where α and β are constants. The retardation is