document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=484916>Question 484916</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ball rebounds 7/8 as high as it bounced on the previous bounce and is dropped from a height of eight feet. How high does it bounce on the fourth bounce and how far has it traveled after the fourth bounce?\r<BR>\n" );
document.write( "\n" );
document.write( "What is the right application for this problem? <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #331799 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=331799\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A ball rebounds 7/8 as high as it bounced on the previous bounce and is dropped from a height of eight feet. How high does it bounce on the fourth bounce<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "ht = 8*(7/8)^4 = 8*2401/4096 = 2401/415 ft<BR>\n" );
document.write( "=~ 4.689 ft on the 4th bounce<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( " and how far has it traveled after the fourth bounce?<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "d = 8 + 8*(7/8)*2 + 8*(7/8)^2*2 + 8*(7/8)^3*2 + 8*(7/8)^4 to its apogee the 4th time.<BR>\n" );
document.write( "d = 8 + 16*(7/8 + 49/64 + 343/512) + 8*2401/4096 to the apogee the 4th time.<BR>\n" );
document.write( "d = 8 + 14 + 49/4 + 343/32 + 2401/512<BR>\n" );
document.write( "d = 22 + (6272 + 5488 + 2401)/512<BR>\n" );
document.write( "d = 22 + 14161/512<BR>\n" );
document.write( "d = 49 + 337/512 feet<BR>\n" );
document.write( "d =~ 49.582 feet at its highest point after the 4th bounce<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );