A particle moves with velocity for

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

Problem

A particle moves with velocity

\mathbf v(t)=\langle -\sin t,\,\cos t\rangle

for

0\le t\le \pi

. What is the total distance the particle travels during this time? (a)

2\pi

(b)

\pi

(c)

2

(d)

\sqrt{2}\,\pi