Bouncy Ball and Eiffel Tower...
The third level observatory's upper platform of the Eiffel Tower is 906 ft above the ground.
A Bouncy Ball is dropped from this height. Each time it hits the ground, the Bouncy Ball rebounds to 1/10 of the previous height.
How much distance does the ball travel (in feet) before finally coming to rest ?
The answer is 1107.333.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
The total distance = 906 + 2( sum of distance traveled one way)
=906 + 2(906/10 + 906/100+ 906/1000 +...)
=906{1+2( 1/10 + 1/100 + 1/1000+ ...)}
=906 ( 11/9)
= 1107.333
since Sum of the infinite series 1/10 + 1/100 + 1/1000 +... = 1/9