A particle moves along the –axis with velocity meters per second for

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

Problem

A particle moves along the

x

–axis with velocity

\mathbf v(t)=\langle 3t^{2},0\rangle

meters per second for

0\le t\le 2

. What is the particle’s average speed over this interval? (a)

12\text{ m/s}

(b)

4\text{ m/s}

(c)

8\text{ m/s}

(d)

6\text{ m/s}