A boat B B\,B moves with a constant velocity. At noon, B B\,B is at the point with position vector (3i−6j) km(3\mathbf{i} - 6\mathbf{j}) \text{ km}(3i−6j) km with respect to a fixed origin OOO. At 1430 the boat is at the point with position vector (−12i+14j) km(-12\mathbf{i} + 14\mathbf{j}) \text{ km}(−12i+14j) km.
Find the velocity of BBB.
Find the bearing of the velocity vector
Find an expression, in terms of ttt, for the position of BBB t t\,t hours after noon.
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.