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A cone of mass m falls from a height h and penetrates into sand. The resistance force R of the sand is given by `R=kx^2`. If the cone penetrates up to a distance `x=d` where `dltlamda`, then find the value of k.

A

`(3mg)/(d^(3)) (h-d)`

B

`(2mg)/(d^(3))(h-d)`

C

`(2mg)/(d^(3))(h+d)`

D

`(3mg)/(d^(3)) (h+d)`

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