5 A ball is projected with velocity \(25 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) at an angle of \(70 ^ { \circ }\) above the horizontal from a point \(O\) on horizontal ground. The ball subsequently bounces once on the ground at a point \(P\) before landing at a point \(Q\) where it remains at rest. The distance \(P Q\) is 17.1 m .
- Calculate the time taken by the ball to travel from \(O\) to \(P\) and the distance \(O P\).
- Given that the horizontal component of the velocity of the ball does not change at \(P\), calculate the speed of the ball when it leaves \(P\).