5 A golf ball is projected from a point \(O\) with initial velocity \(V\) at an angle \(\alpha\) to the horizontal. The ball first hits the ground at a point \(A\) which is at the same horizontal level as \(O\), as shown in the diagram.
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It is given that \(V \cos \alpha = 6 u\) and \(V \sin \alpha = 2.5 u\).
- Show that the time taken for the ball to travel from \(O\) to \(A\) is \(\frac { 5 u } { g }\).
- Find, in terms of \(g\) and \(u\), the distance \(O A\).
- Find \(V\), in terms of \(u\).
- State, in terms of \(u\), the least speed of the ball during its flight from \(O\) to \(A\).