A particle P P\,P moves with a constant velocity (3i+2j) ms−1(3\mathbf{i} + 2\mathbf{j}) \text{ ms}^{-1}(3i+2j) ms−1 with respect to a fixed origin OOO. It passes through the point A A\,A whose position vector is (2i+11j) m(2\mathbf{i} + 11\mathbf{j}) \text{ m}(2i+11j) m at t=0t = 0t=0.
Find the angle in degrees that the velocity vector of P P\,P makes with the vector i\mathbf{i}i.
Calculate the distance of P P\,P from O O\,O when t=2t = 2t=2.
