The velocity of a particle is given by (in )

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

The velocity of a particle is given by v(t)=3t2−2t+4v(t)=3 t^{2}-2 t+4 (in m s−1\text{m s}^{-1}). Calculate the instantaneous acceleration at t=2 st = 2\,\text{s}. (a) 14 m s−214\,\text{m s}^{-2} (b) 10 m s−210\,\text{m s}^{-2} (c) 12 m s−212\,\text{m s}^{-2} (d) 8 m s−28\,\text{m s}^{-2}

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