For , the velocity (in meters per second) of a particle is . At what time in this…

MATHEMATICS · Single correct · A Level · Mathematics · Kinematics · Kinematics

Problem

For 0≤t≤30\le t\le3, the velocity (in meters per second) of a particle is v(t)=12t2−24t+10v(t)=12t^{2}-24t+10. At what time tt in this interval is the speed of the particle greatest? (a) t=1t=1 (b) t=3t=3 (c) t=0t=0 (d) t=2t=2

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