?A particle travels in a circle with the equation of motion \(\mathbf{r}(t)=3 \cos t

Chapter 3, Problem 109

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A particle travels in a circle with the equation of motion \(\mathbf{r}(t)=3 \cos t \mathbf{i}+3 \sin t \mathbf{j}+0 \mathbf{k}\). Find the distance traveled around the circle by the particle.

Text Transcription:

\mathbf{r}(t)=3 \cos t \mathbf{i}+3 \sin t \mathbf{j}+0 \mathbf{k}