The position of a particle is given by metres

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

Problem

The position of a particle is given by s(t)=5t2−2t+1s(t)=5t^{2}-2t+1 metres. Calculate its instantaneous velocity (in m/s) at t=3t=3 s. (a) 32 m/s32\ \text{m/s} (b) 26 m/s26\ \text{m/s} (c) 28 m/s28\ \text{m/s} (d) 14 m/s14\ \text{m/s}

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