A ball is projected vertically down with an initial velocity from a height of 20 𝑚 onto a horizontal floor. During the impact it loses 50% of its energy and rebounds to the same height. The initial velocity of its projection is

Question: A ball is projected vertically down with an initial velocity from a height of 20 𝑚 onto a horizontal floor. During the impact it loses 50% of its energy and rebounds to the same height. The initial velocity of its projection is

(A) 20ms^{-1}

(B) 15ms^{-1}

(C) 10ms^{-1}

(D) 5ms^{-1}

Answer: Option (A)

Solution:

A ball is projected vertically down with an initial velocity from a height of 20 𝑚 onto a horizontal floor. During the impact it loses 50% of its energy and rebounds to the same height. The initial velocity of its projection is
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