A ball is projected vertically upwards with a speed of k m s−1k \text{ m s}^{-1}k m s−1, where 0<k<24.50<k<24.50<k<24.5, from a point h h\,h metres above the ground. The ball hits the ground 5 s later.
Find h h\,h in terms of kkk.
Find, in terms of kkk, the speed of the ball as it hits the ground.
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.