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.
139 exam-style questions on AQA A Level Maths 3.3 R: Forces and Newton's laws, covering 3.3.1 Concept of a force and Newton's first law, 3.3.2 Newton's second law, 3.3.3 Weight and motion under gravity, 3.3.4 Newton's third law and equilibrium, 3.3.5 Addition of forces and resultants (A-level only), and 3.3.6 Friction (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.