A train, moving with constant acceleration, passes through three points A, B and C, where AB=35mAB = 35\text{m}AB=35m and BC=65mBC = 65\text{m}BC=65m. The train passes through A with a speed of 5ms-1 and 8 seconds later passes through C. The acceleration of the train is 158ms−2\displaystyle \frac{15}{8}\text{ms}^{-2}815ms−2.
Find the speed at which the train passes through B.
197 exam-style questions on Edexcel A Level Maths Constant Acceleration, covering 8.2 Modelling Assumptions, 8.3 Quantities and Units, 8.4 Working with Vectors, 9.1 Displacement-Time Graphs, 9.2 Velocity-Time Graphs, 9.3 Constant Acceleration Formulae 1, 9.4 Constant Acceleration Formulae 2, and 9.5 Vertical Motion Under Gravity. Each one has a worked solution and a mark scheme showing where the marks go.