At 10 a.m. plane A A\,A has position vector (3i−2j)(3\mathbf{i} - 2\mathbf{j})(3i−2j) km and moves with constant velocity (−i+5j)(-\mathbf{i} + 5\mathbf{j})(−i+5j) km h−1\text{h}^{-1}h−1. Another plane B B\,B has position vector (−3i−10j)(-3\mathbf{i} - 10\mathbf{j})(−3i−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 relative displacement of plane A A\,A from plane B B\,B after t t\,t hours.
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.