Question 1169577
.


            The solution by  @Theo is incorrect,  since he calculates the sums of distances in one direction at each bound,

            while the correct solution should account for them twice  (up and down).


            So,  I made the table in  Excel to provide an absolute clarity.


            See below.


<pre>
 	4 m

-----------------------------
                up      down

1st rebound	1.6	1.6	
2nd rebound	0.64	0.64	
3rd rebound	0.256	0.256	
4th rebound	0.1024	0.1024	
5th rebound		 	
			
	total 	sum =	4 + the sum in the first column + the sum in the second column = 9.1968 meters.    <U>ANSWER</U>
</pre>

Solved.