A particle P P\,P moves with a constant velocity of (4i−kj)(4\mathbf{i} - k\mathbf{j})(4i−kj) ms−1^{-1}−1, where k k\,k is a positive constant.
Find the speed of P P\,P in terms of kkk.
Find the direction of motion of P P\,P in terms of kkk, giving your answer as a bearing.
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.