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9231 P31 - Jun 2025 - Q2 - 6 marks
6858

A particle \(P\) is projected with speed \(24\,\text{m s}^{-1}\) at an angle \(\theta^\circ\) above the horizontal from a point \(O\) on a horizontal plane. At a horizontal distance \(35\) m from \(O\), there is a vertical wall of height \(10\) m.

(a) Determine the two values of \(\theta\) for which \(P\) just clears the wall.

(b) Given that \(P\) clears the wall, find the minimum distance from \(O\) where \(P\) can land.

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