For a particle moving in the – plane

PHYSICS · Subjective · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

For a particle moving in the

x

–

y

plane, the force at time

t

\mathbf F = 3t^{2}\,\hat\imath + 4t\,\hat\jmath\,\text{N}

and its position vector is

\mathbf r = t^{3}\,\hat\imath + 2t^{2}\,\hat\jmath\,\text{m}

. Find the instantaneous power delivered to the particle at

t = 2\,\text{s}