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A particle is projected on x axis with v...

A particle is projected on x axis with velocity V. A force is acting on it in opposite direction, which is proportional to square of its position. At what distance from origin the particle will stop (m is mass, k = proportionality constant)

A

`root(3)(m V_0^2/k)`

B

`root(3)(3m V_0^2/k)`

C

`root(3)(3m V_0^2/2k)`

D

`root(3)(m V_0^2/2k)`

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