A boat B B\,B moves with a constant velocity. At noon, B B\,B is at the point with position vector (4i−3j) km(4\mathbf{i} - 3\mathbf{j}) \text{ km}(4i−3j) km with respect to a fixed origin OOO. The velocity of B B\,B is (−6i+8j) km/h(-6\mathbf{i} + 8\mathbf{j}) \text{ km/h}(−6i+8j) km/h.
Find the position vector of B B\,B at 1430.
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.