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A rubber ball is dropped from a height of 10 m.  It rebounds 1/2 the distance after each fall.  What is the total distance the rubber ball travels?

 Jun 9, 2020
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 It will drop the 10 m    then it will become a geometric sequence

     10  + 10  + 5  + 2.5    etc  

   10 + geometric sequance    a1 =10   r = 1/2

 

sum of geometric sequence = a1 (1/(1-r))

                                             = 10 (1 /1/2)  = 20

 

 

10 + geometr seq sum =   10 + 20 = 30 m

 Jun 9, 2020

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