A particle S S\,S moves with a constant velocity (5i+4j) ms−1(5\mathbf{i} + 4\mathbf{j}) \text{ ms}^{-1}(5i+4j) ms−1 with respect to a fixed origin OOO. It passes through the point C C\,C whose position vector is (4i+2j) m(4\mathbf{i} + 2\mathbf{j}) \text{ m}(4i+2j) m at t=0t = 0t=0.
Find the angle in degrees that the velocity vector of S S\,S makes with the vector i\mathbf{i}i.
Calculate the distance of S S\,S from O O\,O when t=4t = 4t=4.
29 exam-style questions on OCR A Level Maths 1.10.8 Vectors in kinematics. Each one has a worked solution and a mark scheme showing where the marks go.