For a particle whose position is meters for

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

For a particle whose position is s(t)s(t) meters for 1≤t≤41\le t\le4, which of the following expressions gives the particle’s average velocity on the interval [1,4][1,4]? (a) s′(4)+s′(1)2\displaystyle\dfrac{s'(4)+s'(1)}{2} (b) s(4)−s(1)4−1\displaystyle\dfrac{s(4)-s(1)}{4-1} (c) 13[s′(4)−s′(1)]\displaystyle\dfrac{1}{3}\bigl[s'(4)-s'(1)\bigr] (d) s(4)−s(1)4\displaystyle\dfrac{s(4)-s(1)}{4}

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