document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=769629>Question 769629</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When an anvil is dropped into gorge, the speed with which it strikes the ground is directly proportional to the square root of the distance it falls. An anvil that falls 400 feet hits the ground at a speed of 160 feet per second. Find the height of a cliff over the gorge if a drooped anvil hits the ground at a speed of 128 feet per second. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #468966 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=468966\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Speed is directly proportional to square root of distance<BR>\n" );
document.write( "S = k/sqrt D<BR>\n" );
document.write( "k is the constant of proportionality<BR>\n" );
document.write( "To find 'k'<BR>\n" );
document.write( "S = k/sqrt D<BR>\n" );
document.write( "160 = k/sqrt400<BR>\n" );
document.write( "160 = k/20<BR>\n" );
document.write( "k = 3200<BR>\n" );
document.write( "Formula:<BR>\n" );
document.write( "S = 3200/sqrt D<BR>\n" );
document.write( "128 = 3200/sqrt D<BR>\n" );
document.write( "sqrt D = 3200/128<BR>\n" );
document.write( "sqrt D = 25<BR>\n" );
document.write( "D = 25^2<BR>\n" );
document.write( "D = 625 feet<BR>\n" );
document.write( "Hope this helps.<BR>\n" );
document.write( ":-)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );