The time dependence of the position of a particle of mass \( m=2 \) is given by \( \vec{r}(t)=2 ....

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The time dependence of the position of a particle of mass \( m=2 \) is given by \( \vec{r}(t)=2 t \hat{i}-3 t^{2} \hat{j} \). Its angular momentum, with respect to the origin, at time \( t=2 \) is:
\( \mathrm{P} \)
(1) \( 48(\hat{i}+\hat{j}) \)
(2) \( 36 \hat{k} \)
(3) \( -34(\hat{k}-\hat{i}) \)
(4) \( -48 \hat{k} \)


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