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.
363 exam-style questions on Edexcel A Level Maths Further Kinematics, covering 8.1 Vectors in Kinematics, 8.2 Vector Methods with Projectiles, 8.3 Variable Acceleration in One Dimension, 8.4 Differentiating Vectors, and 8.5 Integrating Vectors. Each one has a worked solution and a mark scheme showing where the marks go.