A particle P P\,P of mass 2kg moves with constant acceleration under the action of a force F F\,F N. The initial velocity of P P\,P is (−2i+6j)(-2\mathbf{i} + 6\mathbf{j})(−2i+6j) ms−1^{-1}−1 and after 4 seconds the velocity of P P\,P is (7i+2j)(7\mathbf{i} + 2\mathbf{j})(7i+2j) ms−1^{-1}−1.
Find the magnitude of the acceleration.
Find the angle between F F\,F and the vector i\mathbf{i}i.
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.