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A Ball Dropped From H Height And Moves 80% Of Height Each Time. Total Distance Covered Is? |
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Answer» First time distance= H Second time = 80H/100 = 4H/5 similarly THIRD time 80% of 4H/5 = H(4^2)/(5^2) and so on.. This will lead to infinite terms of geometric progression i.e H+2*4H/5+2*16H/25.. So, Sum = H+ 2*4H/(5(1-4/5)) = 9H. First time distance= H Second time = 80H/100 = 4H/5 similarly third time 80% of 4H/5 = H(4^2)/(5^2) and so on.. This will lead to infinite terms of geometric progression i.e H+2*4H/5+2*16H/25.. So, Sum = H+ 2*4H/(5(1-4/5)) = 9H. |
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