A particle is constrained to move on a circular guideway of radius \(R=3.00 \mathrm{~m}\), on which it can slide without friction, according to the motion equation law \(s(t)=k t^{3}\), with \(k=2.0 \mathrm{~m} / \mathrm{s}^{3}\). Calculate the tangential component \(a_{t}\) and the normal component \(a_{c}\) of the acceleration at time \(t_{1}=1.0 \mathrm{~s}\).