163. A particle undergoes uniform circular motion in the $xoy$ plane, accelerating in the $\hat{j}$ direction, with period $4\,\text{s}$. If at a given moment the acceleration vector is $\vec{a} = 2\vec{i} - 2\vec{j}$, what is the position vector of the particle $1.5\,\text{s}$ later? (Units are in SI.) $-2\vec{i} + 2\vec{j}\ (1$ $2\vec{i} + 2\vec{j}\ (2$ $-2\sqrt{2}\,\vec{j}\ (3$ $2\sqrt{2}\,\vec{j}\ (4$
\textbf{163.} A particle undergoes uniform circular motion in the $xoy$ plane, accelerating in the $\hat{j}$ direction, with period $4\,\text{s}$. If at a given moment the acceleration vector is $\vec{a} = 2\vec{i} - 2\vec{j}$, what is the position vector of the particle $1.5\,\text{s}$ later? (Units are in SI.)
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$-2\vec{i} + 2\vec{j}\ (1$ \hspace{1cm} $2\vec{i} + 2\vec{j}\ (2$ \hspace{1cm} $-2\sqrt{2}\,\vec{j}\ (3$ \hspace{1cm} $2\sqrt{2}\,\vec{j}\ (4$
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