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Balls-are-dropped-from-the-roof-of-a-tower-at-a-fixed-interval-of-time-At-the-moment-when-9th-ball-reaches-the-ground-the-nth-ball-is-3-4-th-height-of-the-tower-What-is-the-value-of-n-




Question Number 21377 by Tinkutara last updated on 22/Sep/17
Balls are dropped from the roof of a  tower at a fixed interval of time. At the  moment when 9th ball reaches the  ground the nth ball is (3/4)th height  of the tower. What is the value of n?
$$\mathrm{Balls}\:\mathrm{are}\:\mathrm{dropped}\:\mathrm{from}\:\mathrm{the}\:\mathrm{roof}\:\mathrm{of}\:\mathrm{a} \\ $$$$\mathrm{tower}\:\mathrm{at}\:\mathrm{a}\:\mathrm{fixed}\:\mathrm{interval}\:\mathrm{of}\:\mathrm{time}.\:\mathrm{At}\:\mathrm{the} \\ $$$$\mathrm{moment}\:\mathrm{when}\:\mathrm{9th}\:\mathrm{ball}\:\mathrm{reaches}\:\mathrm{the} \\ $$$$\mathrm{ground}\:\mathrm{the}\:{n}\mathrm{th}\:\mathrm{ball}\:\mathrm{is}\:\left(\mathrm{3}/\mathrm{4}\right)\mathrm{th}\:\mathrm{height} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{tower}.\:\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{n}? \\ $$

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