document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=697309>Question 697309</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function  . \r<BR>\n" );
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document.write( "h(t)=100t-16t^2\r<BR>\n" );
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document.write( "What is the maximum height that the ball will reach? Height= ? feet\r<BR>\n" );
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document.write( "Do not round your answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #429863 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=429863\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Max height is at the vertex:<BR>\n" );
document.write( "the time (t) of the vertex is:<BR>\n" );
document.write( "t = -b/(2a)<BR>\n" );
document.write( "t = -100/(2(-32))<BR>\n" );
document.write( "t = -100/(-64)<BR>\n" );
document.write( "t = 100/64<BR>\n" );
document.write( "t = 25/16 <BR>\n" );
document.write( "t = 1.5625 seconds<BR>\n" );
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document.write( "Max height is:<BR>\n" );
document.write( "h(t)=100t-16t^2<BR>\n" );
document.write( "h(1.5625)=100(1.5625)-16(1.5625)^2<BR>\n" );
document.write( "h(1.5625)=156.25-39.0625<BR>\n" );
document.write( "h(1.5625)=117.1875 feet<BR>\n" );
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