A particle P P\,P of mass 0.8kg moves under the action of a force F F\,F N. The acceleration of P P\,P is (−3i+5j)(-3\mathbf{i} + 5\mathbf{j})(−3i+5j).
Find the angle between the acceleration and the vector i\mathbf{i}i.
Find the magnitude of FFF.
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.