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 10 ms-1. 2 seconds later P P\,P is moving with velocity (−2i+4j) ms−1(-2\mathbf{i} + 4\mathbf{j}) \text{ ms}^{-1}(−2i+4j) ms−1.
Find the initial velocity of PPP.
Hence find the acceleration of PPP.
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.