A ball is thrown vertically downward from a height of \(20\) m with an initial velocity \(v_0\). It collides with the ground, loses \(50\%\) of its energy in a collision, and rebounds to the same height. The initial velocity \(v_0\) is:
(Take, \(g=10~\mathrm{ms^{-2}}\))
1. \(14\) ms–1
2. \(20\) ms–1
3. \(28\) ms–1
4. \(10\) ms–1
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