A ball is thrown into the air. The motion of the ball is modelled so that at the instant the ball is thrown it is 5 m off the ground and moving vertically upwards with a speed of 12 ms-1. The ball is modelled as a particle moving freely under gravity. The acceleration due to gravity is modelled as being 10 m s-2.
Sketch a velocity-time graph for the motion of the ball for 0≤t≤T0 \leq t \leq T0≤t≤T.
Using this model, find the time taken for the ball to reach its maximum height.
Find the value of TTT.
How would this new value of T T\,T compare with the value found, using the initial model, in part (c)?
Suggest one further refinement to the model, apart from air resistance, to make the model more realistic.
Practise Edexcel A Level Maths Constant Acceleration with exam-style questions for A Level Maths. 17 questions 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, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
