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A particle A is released from rest at time \( t=0 \), at a point \( P \), which is \( 7 \mathrm{~m} \) above horizontal ground. At the same instant as A is released, a particle B is projected from a point \( O \) on the ground. The horizontal distance of \( O \) from \( P \) is \( 24 \mathrm{~m} \). Particle \( B \) moves in the vertical plane containing \( O \) and \( P \), with initial speed \( \mathbf{V ~ m ~ s} \mathrm{s}^{-1} \) and initial direction making an angle of \( \theta \) above the horizontal as shown in Fig 3.40.
Fig \( 3.40 \)
an expression in terms of \( \mathrm{V}, \theta \) and \( t \) for the horizontal distance of \( B \) from \( O \) and the height of \( B \) above the ground.

At time \( t=\mathrm{T} \), the particles \( \mathrm{A} \) and \( B \) collide at a point above the ground.
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