In this question you must show detailed reasoning.
A stone is projected vertically upwards from the top of a tower with speed 14 m s-1. It reaches horizontal ground 4 seconds later. Model the stone as a particle moving freely under gravity and use g=9.8 m s−2g=9.8\text{ m s}^{-2}g=9.8 m s−2.
Determine the height of the tower.
Determine the speed of the stone immediately before it reaches the ground.
Determine the greatest height of the stone above the ground.