At 10 a.m. plane A A\,A has position vector (i−4j)(\mathbf{i} - 4\mathbf{j})(i−4j) km and moves with constant velocity (−3i+7j)(-3\mathbf{i} + 7\mathbf{j})(−3i+7j) km h−1\text{h}^{-1}h−1. Another plane B B\,B has position vector (−4i−10j)(-4\mathbf{i} - 10\mathbf{j})(−4i−10j) km and moves with constant velocity (2i+9j)(2\mathbf{i} + 9\mathbf{j})(2i+9j) km h−1\text{h}^{-1}h−1.
Find the time when A A\,A is due west of BBB
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.