A particle P P\,P moves with constant acceleration (2i−5j)(2\mathbf{i} - 5\mathbf{j})(2i−5j) m s−2^{-2}−2. At time t=0t = 0t=0, P P\,P has speed u u\,u m s−1^{-1}−1. At time t=3t = 3t=3 s, P P\,P has velocity (−6i+j)(-6\mathbf{i} + \mathbf{j})(−6i+j) m s−1^{-1}−1.
Find the value of uuu.
260 exam-style questions on OCR A Level Maths 3.2 Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Displacement-time and velocity-time graphs, 3.2.4 Constant acceleration formulae, 3.2.5 Constant acceleration in two dimensions (A-level only), 3.2.6 Non-uniform acceleration in one dimension (A-level only), 3.2.7 Non-uniform acceleration in two dimensions (A-level only), 3.2.8 Motion under gravity using vectors (A-level only), and 3.2.9 Projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.