A particle moves in the $x-y$ plane according to equation $\overrightarrow r = (\widehat i + 2\widehat j)\, A \, \cos \omega t$. The motion of the particle is
Diffcult
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$\overrightarrow{\mathrm{r}}=\mathrm{x} \hat{\mathrm{i}}+\mathrm{y} \hat{\mathrm{j}}$
$\overrightarrow{\mathrm{r}}=\mathrm{A} \cos \omega \mathrm{t} \hat{\mathrm{i}}+2 \mathrm{A} \cos \omega \mathrm{t} \hat{\mathrm{j}}$
Here,
$x=A \cos \omega t$ $...(1)$
$y=2 A \cos \omega t$ $...(2)$
from eq ( 1)$\&(2)$
$y=2 x$
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