Two particles of masses $m_1$ and $m_2$ in projectile motion have velocities $\vec{v}_1$ and $\vec{v}_2$ respectively at time $t = 0$. They collide at time $t_0$. Their velocities become $\vec{v}_1'$ and $\vec{v}_2'$ at time $2t_0$ while still moving in air. The value of $|(m_1\vec{v}_1' + m_2\vec{v}_2') - (m_1\vec{v}_1 + m_2\vec{v}_2)|$ is

  • A
    Zero
  • B
    $(m_1 + m_2)gt_0$
  • C
    $2(m_1 + m_2)gt_0$
  • D
    $\frac{1}{2}(m_1 + m_2)gt_0$

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