A particle Q Q\,Q moves with a constant velocity (i+4j) ms−1(\mathbf{i} + 4\mathbf{j}) \text{ ms}^{-1}(i+4j) ms−1 with respect to a fixed origin OOO. It passes through the point B B\,B whose position vector is (2i) m(2\mathbf{i}) \text{ m}(2i) m at t=0t = 0t=0.
Find the angle in degrees that the velocity vector of Q Q\,Q makes with the vector i\mathbf{i}i.
Calculate the distance of Q Q\,Q from O O\,O when t=3t = 3t=3.
29 exam-style questions on OCR (MEI) A Level Maths 3.2.12 Vectors to solve kinematics problems (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.