A particle P P\,P of mass 3kg moves with constant acceleration under the action of a force F F\,F N. The initial velocity of P P\,P is (−5i+8j)(-5\mathbf{i} + 8\mathbf{j})(−5i+8j) ms−1^{-1}−1 and after 3 seconds the velocity of P P\,P is (31i−28j)(31\mathbf{i} - 28\mathbf{j})(31i−28j) ms−1^{-1}−1.
Find the magnitude of the acceleration.
Find the angle between F F\,F and the vector i\mathbf{i}i.
182 exam-style questions on Edexcel A Level Maths Forces and Motion, covering 10.1 Force Diagrams, 10.2 Forces as Vectors, 10.3 Forces and Acceleration, 10.4 Motion in 2 Dimensions, 10.5 Connected Particles, and 10.6 Pulleys. Each one has a worked solution and a mark scheme showing where the marks go.