A weather balloon S S\,S moves with a constant horizontal velocity of (5i−12j)(5\mathbf{i} - 12\mathbf{j})(5i−12j) ms−1^{-1}−1, where i\mathbf{i}i represents the easterly direction and j\mathbf{j}j represents the northerly direction.
Find the speed of SSS.
Find the direction of motion of SSS, giving your answer as a three-figure bearing to the nearest degree.
30 exam-style questions on Edexcel AS 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.