A ball is dropped and bounces up to a height that is 75% of the height from which is dropped. It then bounces again to a height that is 75% of the previous height and so on.
How many bounces does it make before it bounces up to less then 25% of the original height from which is dropped?
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Answer is five times
Assume ball was dropped from a height of 100 mts
Every time it bounces upto 75% of height it was dropped
Therefore (I) 100÷100*75 = 75 mts
(ii) 75÷100*75 = 56.25 mts
(iii) 56.25÷100*75 = 42.19 mts
(IV) 42.19÷100*75 = 31.64 mts
(v) 31.64÷100*75 = 23.73 mts
So after bouncing 5 time it goes upto 23.73 mts which is less than 25 mts
Step-by-step explanation:
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