A particle P P\,P moves with a constant velocity (2i+5j) ms−1(2\mathbf{i} + 5\mathbf{j}) \text{ ms}^{-1}(2i+5j) ms−1 with respect to a fixed origin OOO. It passes through the point A A\,A whose position vector is (4i−4j) m(4\mathbf{i} - 4\mathbf{j}) \text{ m}(4i−4j) 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=4t = 4t=4.
