For , a particle moves with velocity . Determine the time at which the particle’s…

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

Problem

For

0\le t\le \dfrac{\pi}{3}

, a particle moves with velocity

v(t)=\langle 6\cos 3t,\,8\sin 3t\rangle

. Determine the time at which the particle’s speed is greatest on this interval. (a)

t=\dfrac{\pi}{9}

(b)

t=0

(c)

t=\dfrac{\pi}{6}

(d)

t=\dfrac{\pi}{3}