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.
Practise Edexcel A Level Maths Further Kinematics with exam-style questions for A Level Maths. 54 questions covering Vectors in Kinematics, Vector Methods with Projectiles, Variable Acceleration in One Dimension, Differentiating Vectors, and Integrating Vectors, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.