Physics

Problem

For a particle moving in the

x

–

y

plane, the force at time

t

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

and its position vector is

\mathbf r = t^{3}\,\hat i + 2t^{2}\,\hat j\,\text{m}

. Find the instantaneous power delivered to the particle at

t = 2\,\text{s}