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A ''super ball'' is dropped from a window 16 meters above the ground. On each bounce it rises 3/4 the distance of the preceding high point. The ball is caught when it reached the high point after hitting the ground for the third time. To the nearest meter, how far has it travelled?

 Dec 20, 2020
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First time it hits it has travelled 16 m

   then it travels up  3/4 of this     and back down the same amount

                                12   +  12

 

  then it hits the second time

     and travels up 3/4   of 12    and back down the same amount

                                 9    +    9

 

 Then it hits the ground the third time  and travels up 3/4 of 9   and is caught

 

16 +    12 + 12     + 9+ 9     + 3/4 (9) = ......... meters

 Dec 21, 2020

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