Posted by **Jasen** on Friday, November 29, 2013 at 10:46pm.

A rubber ball is dropped from a height of 729 feet, and at each bounce it rebounds one-third of the height from which it last fell. How far has the ball travelled by the time it strikes the ground for the 5th time?

- math -
**shree**, Friday, November 29, 2013 at 10:49pm
first time: 729/3=243

second time: 243/3

third time:81/3

fourth time: 27/3

fifth time: 9/3=3ft

- math -
**Reiny**, Friday, November 29, 2013 at 10:56pm
distance for 1st bounce = 729

distance for 2nd bounce = 2(1/3)(729) = 2(243)

distance for 3rd bounce = 2(1/3)(243) = 2(81)

distance for 4th bounce = 2(1/3)(81) = 2(27)

distance for 5th bounce = 2(1/3)(27) = 2(9)

total distance

= 729 + 2(243+81+27+9) = 1449

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