An object is moving in the \( x-y \) plane with the position as a function of time given by \( \...
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0An object is moving in the \( x-y \) plane with the position as a function of time given by \( \vec{r}=x(t) \hat{i}+y(t) \hat{j} \). Point \( O \) is at \( x \)
\( \mathrm{P} \) \( =0, y=0 \). The object is definitely moving towards \( O \) when
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(1) \( v_{x}0, v_{y}0 \)
(2) \( v_{x}0, v_{y}0 \)
(3) \( x v_{x}+y v_{y}0 \)
(4) \( x v_{x}+y v_{y}0 \)
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