The velocity of a particle is given by

PHYSICS · Single correct · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

The velocity of a particle is given by v(t)=(4t i−3t2 j+6 k) m s−1\mathbf v(t)=\bigl(4t\,\text{i}-3t^{2}\,\text{j}+6\,\text{k}\bigr)\,\text{m s}^{-1}. Find its instantaneous speed at t=2 st=2\,\text{s}. (a) 20.0 m s−120.0\,\text{m s}^{-1} (b) 15.6 m s−115.6\,\text{m s}^{-1} (c) 14.4 m s−114.4\,\text{m s}^{-1} (d) 18.8 m s−118.8\,\text{m s}^{-1}

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