Two identical smooth balls are projected from points \( O \) and \( A \) on the horizontal groun...

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Two identical smooth balls are projected from points \( O \) and \( A \) on the horizontal ground with same speed of projection. The
\( \mathrm{P} \) angle of projection in each case is \( 30^{\circ} \) (see figure). The distance

W between \( O \) and \( A \) is \( 100 \mathrm{~m} \). The balls collide in mid-air and return to their respective points of projection. If the coefficient of restitution is \( 0.7 \), find the speed of projection of either ball (in \( \mathrm{m} / \mathrm{s} \) ) correct to nearest integer. (Take \( g=10 \mathrm{~m} \mathrm{~s}^{-2} \) and \( \sqrt{3}=1.7) \)
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