5 A particle \(P\) is projected with speed \(30 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) at an angle of \(60 ^ { \circ }\) above the horizontal from a point \(O\) on horizontal ground. For the instant when the speed of \(P\) is \(17 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) and increasing,

1. show that the vertical component of the velocity of \(P\) is \(8 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) downwards,
2. calculate the distance of \(P\) from \(O\).