One ball was dropped from 8ft height and every time it goes half of the height. How much distance it will travel before coming to rest ?

• 24ft
  reason:
  =8+2(4+2+1+...)
  =8+2(8)
  =24ft
• 11 years agoHelpfull: Yes(1) No(0)
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• 
  Total distance covered =
  8 ft + 8 ft + 4 ft + 2 ft + ....
  = 8 ft + (8 ft + 4 ft + 2 ft + ....)
  = 8 ft + S
  S is the sum of an infinite geometric series with first term 8 ft and common ratio 1/2.
  S = 8/(1 - 1/2) = 8/(1/2) = 16 ft
  Total distance covered = 8 ft + 16 ft = 24 ft
  
  Ans: 24 ft
  
• 9 years agoHelpfull: Yes(0) No(0)