$A$ stationary body of mass $m$ explodes into $3$ parts having masses in the ratio $1 : 3 : 3$. The two parts having equal mass move at right angles to each other with a velocity of $15\,m/s$. What is the velocity of the third part?

  • A
    $45\sqrt{2}\,m/s$
  • B
    $5\,m/s$
  • C
    $5\sqrt{32}\,m/s$
  • D
    None of these

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