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

Infinity Learn · Accepted Answer

Let ball is projected vertically downward with velocity v from height hTotal energy at point A $$=$$ $$12mv2+mghDuring$$ collision loss of energy is $$50$$% and the ball rises up to same height. It means it possess only potential energy at same $$level.50$$%$$12mv2+$$$$mgh$$$$=mgh1212mv2+$$$$mgh$$$$=mghv$$ $$=$$ $$2gh$$ $$=$$ $$2$$×$$10$$×$$20v$$ $$=$$ $$20$$ $$m/s$$

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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