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 kms−1k\text{ms}^{-1}kms−1, where 0<k<503\displaystyle 0<k<\frac{50}{3}0<k<350, and 6 seconds later passes through C.
Find the acceleration of the train, in terms of kkk.
Find the speed at which the train passes through B, in terms of kkk.
Find the time it takes for the train to move between B and C, in terms of kkk.
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.