A remote-controlled boat B B\,B moves across a lake with constant acceleration. At time t=0t = 0t=0, B B\,B is moving in the direction (3i−4j)(3\mathbf{i} - 4\mathbf{j})(3i−4j) with speed 10 ms-1. After 5 seconds, its velocity is (11i−13j) ms−1(11\mathbf{i} - 13\mathbf{j}) \text{ ms}^{-1}(11i−13j) ms−1.
Find the acceleration of BBB.
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.