A particle P P\,P moves with constant acceleration. At time t=0t = 0t=0, P P\,P is moving in the direction (4i+3j)(4\mathbf{i} + 3\mathbf{j})(4i+3j) with speed 15 ms-1. 6 seconds later P P\,P is moving with velocity (−12i+6j) ms−1(-12\mathbf{i} + 6\mathbf{j}) \text{ ms}^{-1}(−12i+6j) ms−1.
Find the acceleration of PPP, giving your answer in exact form.
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.