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.
Practise Edexcel A Level Maths Forces and Motion with exam-style questions for A Level Maths. 15 questions 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, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.