For , a particle’s velocity is . At which times in the interval does the particle…

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

For

0\le t\le 2\pi

, a particle’s velocity is

v(t)=\sin t-\dfrac12

. At which times in the interval does the particle change direction? (a)

t=\dfrac{\pi}{6}

only (b)

t=\dfrac{\pi}{6}\text{ and }t=\dfrac{5\pi}{6}

(c)

t=\dfrac{\pi}{2}\text{ and }t=\dfrac{3\pi}{2}

(d)

t=\dfrac{\pi}{6},\; t=\dfrac{5\pi}{6},\text{ and } t=\dfrac{3\pi}{2}