A ball is thrown vertically downwards from a height of \( 20 \mathrm{~m} \) with an initial velo...

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A ball is thrown vertically downwards from a height of \( 20 \mathrm{~m} \) with an initial velocity \( v_{0} \). It collides with the ground, loses \( 50 \% \) of its energy in collision and rebounds to the same height. The initial velocity \( v_{0} \) is (take, \( g=10 \mathrm{~ms}^{-2} \) )
(a) \( 14 \mathrm{~ms}^{-1} \)
(b) \( 20 \mathrm{~ms}^{-1} \)
(c) \( 28 \mathrm{~ms}^{-1} \)
(d) \( 10 \mathrm{~ms}^{-1} \)
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