A rescue boat R R\,R moves with a constant velocity of (−3i+4j)(-3\mathbf{i} + 4\mathbf{j})(−3i+4j) 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 RRR.
Find the direction of motion of RRR, 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.