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Particles A and B are projected simultaneously from the top \( T \) of a vertical tower and move in the same vertical plane. \( T \) is \( 7 \cdot 2 \mathrm{~m} \) above horizontal ground. \( A \) is projected horizontally with speed \( 8 \mathrm{~m} \mathrm{~s}^{-1} \) and \( B \) is projected at an angle of \( 60^{\circ} \) above the horizontal with speed \( 5 \mathrm{~m} \mathrm{~s}^{-1} \). A and B move away from each other as shown in Fig 3.38.
Fig \( 3.38 \)
At the instant, when A hits the ground,
(i) show that \( B \) is approximately \( 5.2 \mathrm{~m} \) above the ground and
(ii) find the distance \( \mathbf{A B} \).
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