A particle’s velocity is meters per second for

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A particle’s velocity is v(t)=t(t−3)2v(t)=t(t-3)^{2} meters per second for −1≤t≤6-1\le t\le 6. At which time(s) in this interval does the particle change direction? (a) t=3t=3 only (b) t=0t=0 only (c) t=0 and t=3t=0\text{ and }t=3 (d) t=1 and t=3t=1\text{ and }t=3

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