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An initially stationary box on a frictio...

An initially stationary box on a frictionless floor explodes into two pieces, piece A with mass `m_(A)` and piece B with mass `m_(B)`. Two pieces then move across the floor along x-axis. Graph of position versus time for the two pieces are given

If following graphs are possible then, in which of the following cases external impulse must be acting on the box?

A

II

B

IV

C

V

D

VI

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