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.
Show that the position vector of P P\,P when t=2t = 2t=2 is 8i+15j8\mathbf{i} + 15\mathbf{j}8i+15j.
Hence calculate the distance of P P\,P from O O\,O when t=2t = 2t=2.
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.