2 A stone is projected from a point \(O\) on horizontal ground. The equation of the trajectory of the stone is $$y = 1.2 x - 0.15 x ^ { 2 }$$ where \(x \mathrm {~m}\) and \(y \mathrm {~m}\) are respectively the horizontal and vertically upwards displacements of the stone from \(O\). Find

1. the greatest height of the stone,
2. the distance from \(O\) of the point where the stone strikes the ground.