A boat B B\,B moves with a constant velocity. At noon, B B\,B is at the point with position vector (−3i+7j) km(-3\mathbf{i}+7\mathbf{j})\text{ km}(−3i+7j) km with respect to a fixed origin OOO. The velocity of B B\,B is (5i−2j) km h−1(5\mathbf{i}-2\mathbf{j})\text{ km h}^{-1}(5i−2j) km h−1.
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.