Two forces (9i−2j)(9\mathbf{i} - 2\mathbf{j})(9i−2j) N and (i+8j)(\mathbf{i} + 8\mathbf{j})(i+8j) N act on a particle of mass 2 kg.
No other force acts on the particle.
Find the sum of the two forces.
Find the acceleration of the particle, giving your answer in terms of i\mathbf{i}i and j\mathbf{j}j.
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.