A train, moving with constant acceleration, passes through three points A, B and C, where AB=40mAB = 40\text{m}AB=40m and BC=60mBC = 60\text{m}BC=60m. The train passes through A with a speed of 10ms-1 and 6 seconds later passes through C.
Find the acceleration of the train.
Find the speed at which the train passes through B.
Show that the time t t\,t it takes for the train to move between B and C satisfies the equation
10t2+150t−540=0. 10t^2+150t-540=0. 10t2+150t−540=0.Find the time it takes for the train to move between B and C.
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.