1.
A body moves with constant speed on a circular path whose radius vector is
r=15(cospti^+sinptj^) m,\vec{r} = 15(\cos pt\,\hat{i} + \sin pt\,\hat{j})\ \text{m},

where pp is in rad/s and tt is in seconds. Its centripetal acceleration at t=3t = 3 s is