A mass $m$ moving horizontally (along the $x-$ axis) with velocity $v$ collides and sticks to a mass of $3m$ moving vertically upward (along the $y-$ axis) with velocity $2v$. The final velocity of the combination is

  • A

    $\frac{3}{2}\,v\hat i + \frac{1}{4}\,v\hat j$

  • B

    $\frac{1}{4}\,v\hat i + \frac{3}{2}\,v\hat j$

  • C

    $\frac{1}{3}\,v\hat i + \frac{2}{3}\,v\hat j$

  • D

    $\frac{2}{3}\,v\hat i + \frac{1}{3}\,v\hat j$

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