A projectile is fired with velocity $u$ at an angle $\theta$ with horizontal. At the highest point of its trajectory it splits up into three segments of masses $m, m$ and $2 \,m$. First part falls vertically downward with zero initial velocity and second part returns via same path to the point of projection. The velocity of third part of mass $2 \,m$ just after explosion will be

  • A

    $u \cos \theta$

  • B

    $\frac{3}{2} u \cos \theta$

  • C

    $2 u \cos \theta$

  • D

    $\frac{5}{2} u \cos \theta$

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