A particle A A\,A moves with constant acceleration (−2i+4j) ms−2(-2\mathbf{i} + 4\mathbf{j}) \text{ ms}^{-2}(−2i+4j) ms−2. At time t=0t = 0t=0, A A\,A has speed u ms−1u \text{ ms}^{-1}u ms−1. At time t=5 st = 5 \text{ s}t=5 s, A A\,A has velocity (−5i+8j) ms−1(-5\mathbf{i} + 8\mathbf{j}) \text{ ms}^{-1}(−5i+8j) ms−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.