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The velocity - displacement graph of a p...

The velocity - displacement graph of a particle moving along a straight line is shown
The most suitable acceleration - displacement graph will be

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The correct Answer is:
B

from graph `v = v_(0) - (v_(0))/(x_(0)) x …(1)`
`a = v(dv)/(dx) ..(2)`
`a = (-(v_(0))/(x_(0)))v = (v_(0)-(v_(0))/(x_(0))x)(-(v_(0))/(x_(0)))`
`rArr a = ((v_(0))/(x_(0)))^(2) x - (v_(0)^(2))/(x_(0))`
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