8 A particle \(P\) projected from a point \(O\) on horizontal ground hits the ground after 2.4 seconds. The horizontal component of the initial velocity of \(P\) is \(\frac { 5 } { 3 } d \mathrm {~ms} ^ { - 1 }\).
- Find, in terms of \(d\), the horizontal distance of \(P\) from \(O\) when it hits the ground.
- Find the vertical component of the initial velocity of \(P\).
\(P\) just clears a vertical wall which is situated at a horizontal distance \(d \mathrm {~m}\) from \(O\). - Find the height of the wall.
The speed of \(P\) as it passes over the wall is \(16 \mathrm {~ms} ^ { - 1 }\).
- Find the value of \(d\) correct to 3 significant figures.