Chapter 12.6, Problem 24ES

Suppose that the position function of a particle moving along a circle in the $xy\text{-plane}$ is $\text{r}=5\cos 2\pi t\text{i}+\text{5}\sin \text{2}\pi t\text{j}\text{.}$

(a) Sketch some typical displacement vectors over the time interval from $t=0\text{to}t=1.$

(b) What is the distance travelled by the particle during the time interval?