A particle P P\,P moves with constant acceleration (3i−4j)(3\mathbf{i} - 4\mathbf{j})(3i−4j) ms−2^{-2}−2. At time t=0t = 0t=0, P P\,P has speed u u\,u ms−1^{-1}−1. At time t=3t = 3t=3, P P\,P has velocity (−3i+4j)(-3\mathbf{i} + 4\mathbf{j})(−3i+4j) ms−1^{-1}−1.
Find the value of uuu. Hence find the velocity of P P\,P at time t=5t = 5t=5.
182 exam-style questions on Edexcel A Level Maths Forces and Motion, covering 10.1 Force Diagrams, 10.2 Forces as Vectors, 10.3 Forces and Acceleration, 10.4 Motion in 2 Dimensions, 10.5 Connected Particles, and 10.6 Pulleys. Each one has a worked solution and a mark scheme showing where the marks go.