At an instant when a particle moving along a straight line has

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

Problem

v(t)<0

and

a(t)>0

, which statement best describes the particle’s speed at that instant? (a)

\text{The speed is increasing because the acceleration is positive.}

(b)

\text{The speed is constant because the acceleration cancels the velocity.}

(c)

\text{The speed is decreasing because the velocity and acceleration have opposite signs.}

(d)

\text{The speed cannot be determined without additional information about the particle’s motion.}