The position of a particle moving along a line is meters for

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

Problem

The position of a particle moving along a line is p(t)=2t3−9t2+12tp(t)=2t^{3}-9t^{2}+12t meters for t≥0t\ge 0. What is the particle’s instantaneous acceleration at t=2t=2 seconds? (a) −6 m/s2-6\ \text{m/s}^2 (b) 0 m/s20\ \text{m/s}^2 (c) 6 m/s26\ \text{m/s}^2 (d) 18 m/s218\ \text{m/s}^2

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