A particle travels along a circle of radius meters

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

A particle travels along a circle of radius

3

meters, with position vector

\mathbf r(t)=\langle 3\cos t,\,3\sin t\rangle

for

0\le t\le \pi

(time in seconds). Determine the particle’s average speed on this interval. Include appropriate units.