A man stands on a ledge and throws a ball into the air so that, at the instant when the ball leaves his hand, the ball is 4 m above the ground and is moving vertically upwards with speed 8 ms-1. The motion of the ball is modelled as that of a particle moving freely under gravity and the acceleration due to gravity is modelled as being of constant magnitude 10 ms-2. The ball hits the ground T T\,T seconds after leaving the man's hand.
Using the model, find the value of TTT.
Practise Edexcel AS Level Maths Constant Acceleration with exam-style questions for AS Level Maths. 17 questions covering Modelling Assumptions, Quantities and Units, Working with Vectors, Displacement-Time Graphs, Velocity-Time Graphs, Constant Acceleration Formulae 1, Constant Acceleration Formulae 2, and Vertical Motion Under Gravity, matched to the Edexcel AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 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.