The position of a particle moving along a line is

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

Problem

The position of a particle moving along a line is s(t)=3t3−5t2+4t+7s(t)=3t^{3}-5t^{2}+4t+7, where ss is measured in meters and tt in seconds. What is the particle’s velocity at t=2 st=2\text{ s}? (a) 26 m/s26\text{ m/s} (b) 20 m/s20\text{ m/s} (c) −4 m/s-4\text{ m/s} (d) 18 m/s18\text{ m/s}

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