A ball is projected at $60^o$ from horizontal at $200\, m/s$. At maximum height during its  flight it explodes into $3$ equal fragments. Out of them one part travel at $100\, m/s$  vertically up while other at $100\, m/s$ vertically down, then third part will have  speed just after explosion :-

  • A

    $100\, m/s$ horizontal

  • B

    $300\, m/s$ horizontal

  • C

    $300\, m/s\, 60^o$ to horizontal

  • D

    $200\, m/s\, 60^o$ to horizontal

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  • [JEE MAIN 2023]