At 10 a.m. plane A A\,A has position vector (2i+3j)(2\mathbf{i} + 3\mathbf{j})(2i+3j) km and moves with constant velocity (−5i−j)(-5\mathbf{i} - \mathbf{j})(−5i−j) km h−1^{-1}−1. Another plane B B\,B has position vector (−4i−5j)(-4\mathbf{i} - 5\mathbf{j})(−4i−5j) km and moves with constant velocity (−2i+3j)(-2\mathbf{i} + 3\mathbf{j})(−2i+3j) km h−1^{-1}−1.
Find the time, after 10 a.m. when the planes are exactly 20 km apart.
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.