A particle’s velocity on the interval seconds is given by meters per second

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

Problem

A particle’s velocity on the interval −4≤t≤4-4\le t\le4 seconds is given by v(t)=2−∣t∣v(t)=2-|t| meters per second. At which of the following times does the particle change direction? (a) t=2 st=2\text{ s} only (b) t=−2 st=-2\text{ s} and t=2 st=2\text{ s} (c) t=−2 s, 0 s, 2 st=-2\text{ s},\,0\text{ s},\,2\text{ s} (d) t=0 st=0\text{ s} only

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