The displacement vector of a particle is (mathbf{r}(t)=[2 sin 20 t mathbf{i}+3 cos 20 t mathbf{j}] mathrm{mm})

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The displacement vector of a particle is

\(\mathbf{r}(t)=[2 \sin 20 t \mathbf{i}+3 \cos 20 t \mathbf{j}] \mathrm{mm}\)

(a) Describe the trajectory of the particle.

(b) How long does it take the particle to make one circuit around the path?

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