The position of a particle is given by \( \vec{r}=3 t \hat{i}+2 t^{2} \hat{j}+5 \hat{k} \), wher....
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The position of a particle is given by
\( \mathrm{P} \)
\( \vec{r}=3 t \hat{i}+2 t^{2} \hat{j}+5 \hat{k} \), where \( \mathrm{t} \) is in seconds and the
W
coefficients have the proper units for \( \vec{r} \) to be in metres. The direction of velocity of the particle at \( t=1 \mathrm{~s} \) is
(1) \( 53^{\circ} \) with \( x \)-axis
(2) \( 73^{\circ} \) with \( x \)-axis
(3) \( 30^{\circ} \) with \( y \)-axis
(4) \( 60^{\circ} \) with \( y \)-axis
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