A ship S S\,S moves with a constant velocity. At 11:00, S S\,S is at the point with position vector (−4i+5j) km(-4\mathbf{i} + 5\mathbf{j}) \text{ km}(−4i+5j) km with respect to a fixed origin OOO. At 13:00, the ship is at the point with position vector (8i−1j) km(8\mathbf{i} - 1\mathbf{j}) \text{ km}(8i−1j) km.
Find the velocity of SSS.
Find the bearing of the velocity vector.
Find an expression, in terms of ttt, for the position of SSS t t\,t hours after 11:00.
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.