Mathematics

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}

t=0

t=\dfrac{\pi}{6}

t=\dfrac{\pi}{3}