document.write( "Question 552039: If a ball rebounds three-fifths as far as it falls, how far will it (vertically) travel before coming to rest if dropped 14 feet? \n" ); document.write( "

Algebra.Com's Answer #852298 by ikleyn(52867) $\"\"$ $\"About$

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\n" ); document.write( "If a ball rebounds three-fifths as far as it falls, how far will it (vertically) travel before coming to rest
\n" ); document.write( "if dropped 14 feet?
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\n" ); document.write( "\n" ); document.write( " The solution in the post by @Theo is incorrect.\r
\n" ); document.write( "\n" ); document.write( " I came to bring a correct solution.\r
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document.write( "First rebound is   =  =  ft.\r\n" );
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document.write( "The heights of rebounds that follow make geometric progression with the common ratio of  r = 3/5.\r\n" );
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document.write( "The infinite sum of all the rebound heights series is\r\n" );
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document.write( "     =  =  =  = 21.\r\n" );
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document.write( "This value, 21 ft, we should double, counting each fall-rebund, and add the initial height of 14 ft.\r\n" );
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document.write( "So, the final answer for the total travel is 14 + 2*21 = 14 + 42 = 56 ft.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved correctly.\r
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