document.write( "Question 1144812: A ball always bounces three fifth of the height from which it falls. What fraction of its initial height does it rise after the second and third bounce? \n" ); document.write( "

Algebra.Com's Answer #766004 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+n+\"$ = the number of bounces
\n" ); document.write( "Let $\"+h+\"$ = the height after $\"+n+\"$ bounces
\n" ); document.write( "Let $\"+h%5B0%5D+\"$ = the starting height
\n" ); document.write( " $\"+h+=+h%5B0%5D%2A%28+1+-+2%2F5+%29%5En+\"$
\n" ); document.write( " $\"+h+=+h%5B0%5D%2A%28+3%2F5+%29%5En+\"$
\n" ); document.write( "------------------------------
\n" ); document.write( "After 2nd bounce:
\n" ); document.write( " $\"+h+=+h%5B0%5D%2A%28+3%2F5+%29%5E2+\"$
\n" ); document.write( " $\"+h%2Fh%5B0%5D+=+9%2F25+\"$
\n" ); document.write( "------------------------------
\n" ); document.write( "After 3rd bounce:
\n" ); document.write( " $\"+h+=+h%5B0%5D%2A%28+3%2F5+%29%5E3+\"$
\n" ); document.write( " $\"+h%2Fh%5Bo%5D+=+27%2F125+\"$
\n" ); document.write( " \n" ); document.write( "

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