A drone D D\,D moves with constant acceleration. At time t=0t = 0t=0, D D\,D is moving in the direction (5i+12j)(5\mathbf{i} + 12\mathbf{j})(5i+12j) with speed 26 ms-1. 4 seconds later D D\,D is moving with velocity (14i+30j) ms−1(14\mathbf{i} + 30\mathbf{j}) \text{ ms}^{-1}(14i+30j) ms−1.
Find the acceleration of DDD.
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.