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 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.
