A particle of mass \( 2 \mathrm{~kg} \) is moving such that at time \( t \), its position, in me....

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A particle of mass \( 2 \mathrm{~kg} \) is moving such that at time \( t \), its position, in meter, is given by \( \vec{r}(t)=5 \hat{i}-2 t^{2} \hat{j} \).
\( \mathrm{P} \)
The angular momentum of the particle at \( t=2 \mathrm{~s} \) about
W
the origin in \( \mathrm{km} \mathrm{m}^{-2} \mathrm{~s}^{-1} \) is:
(1) \( -80 \hat{k} \)
(2) \( (10 \hat{i}-16 \hat{j}) \)
(3) \( -40 \hat{k} \)
(4) \( 40 \hat{k} \)


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