A bomb is projected with $200\,m/s$ at an angle $60^o$ with horizontal. At the highest  point, it explodes into three particles of equal masses. One goes vertically upward with  velocity $100\,m/sec$, second particle goes vertically downward with the same velocity as  the first. Then what is the velocity of the third one-

  • A

    $120\, m/sec$ with $60^o$ angle

  • B

    $200 \,m/sec$ with $30^o$ angle

  • C

    $50\, m/sec$, in horizontal direction

  • D

    $300\, m/sec$, in horizontal direction

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