document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=771188>Question 771188</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A stone is thrown upward from a bridge. the stone's height in feet, above the water t seconds after the stone is thrown is a function given by the equation    S(t)=-16t^2+32t+256. Find the maximum height of the stone </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #470002 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=470002\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> S(t)=-16t^2+32t+256.\r<BR>\n" );
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document.write( "This is an inverted parabola\r<BR>\n" );
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document.write( "The vertex has to be calculated to get the height\r<BR>\n" );
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document.write( "x= -b/2a\r<BR>\n" );
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document.write( "b=32, a=16<BR>\n" );
document.write( "x= -32/-32=1\r<BR>\n" );
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document.write( "plug x=1 in the equation to get the maximum height.\r<BR>\n" );
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document.write( "S(t)=-16(1)^2+32(1)+256.<BR>\n" );
document.write( "H= 272  </SPAN>\n" );
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