A particle P P\,P moves with a constant velocity (3i+2j) ms−1(3\mathbf{i} + 2\mathbf{j}) \text{ ms}^{-1}(3i+2j) ms−1 with respect to a fixed origin OOO. It passes through the point A A\,A whose position vector is (2i+11j) m(2\mathbf{i} + 11\mathbf{j}) \text{ m}(2i+11j) 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=2t = 2t=2.
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.