3 The point \(O\) is 8 m above a horizontal plane. A particle \(P\) is projected from \(O\). After projection, the horizontal and vertically upwards displacements of \(P\) from \(O\) are \(x \mathrm {~m}\) and \(y \mathrm {~m}\) respectively. The equation of the trajectory of \(P\) is
$$y = 2 x - x ^ { 2 }$$
- Find the value of \(x\) for the point where \(P\) strikes the plane.
- Find the angle and speed of projection of \(P\).
- Calculate the speed of \(P\) immediately before it strikes the plane.