The velocity of a particle moving along a straight line is given by (in meters per…

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

Problem

The velocity of a particle moving along a straight line is given by v(t)=3t2−12t+7v(t)=3t^{2}-12t+7 (in meters per second) for 1≤t≤41\le t\le4. What is the particle’s average velocity on this interval? (a) 2 m/s2\text{ m/s} (b) −6 m/s-6\text{ m/s} (c) −2 m/s-2\text{ m/s} (d) 2.5 m/s2.5\text{ m/s}

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