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 (−5i+2j)(-5\mathbf{i} + 2\mathbf{j})(−5i+2j) ms−1^{-1}−1.
Find the value of uuu.
Practise Edexcel A Level Maths Forces and Motion with exam-style questions for A Level Maths. 15 questions 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, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.