A smooth ball of mass \( 1 \mathrm{~kg} \) is projected with velocity \( 7 \mathrm{~m} / \mathrm...

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A smooth ball of mass \( 1 \mathrm{~kg} \) is projected with velocity \( 7 \mathrm{~m} / \mathrm{s} \) horizontal from a tower of height \( 3.5 \mathrm{~m} \). It collides elastically with a wedge of mass \( 3 \mathrm{~kg} \) and inclination of \( 45^{\circ} \mathrm{kept} \) on ground (figure). The ball collides with the wedge at a height of \( 1 \mathrm{~m} \) above the ground. Find the velocity of the wedge (in \( \mathrm{m} / \mathrm{s} \) ) after collision. (Neglect friction at any contact.)
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