The time dependence of the position of a particle of mass $m = 2 \ kg$ is given by $\vec r(t) = 2t \hat i - 3t^2 \hat j$. Its angular momentum with respect to the origin at time $t = 2 \ s$ is:

  • A
    $-48 \hat k$
  • B
    $48(\hat i + \hat j)$
  • C
    $36 \hat k$
  • D
    $-34(\hat k - \hat i)$

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