document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=853967>Question 853967</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a baseball is projected upward from ground level with an initial velocity of 64 feet per second ,then it's height is a function of time , given by s(t) = -16tsquare + 54t. What is the maximum height reached by the ball? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #514565 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=514565\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> s(t) = -16t^2 + 54t<BR>\n" );
document.write( "The maximum value for a function of the form<BR>\n" );
document.write( "f(x) = ax^2 + bx + c , when a is negative occurs<BR>\n" );
document.write( "when x = -b/(2a)<BR>\n" );
document.write( "For our equation -b/(2a) = -54/(2(-16)) = 54/32 = 27/16<BR>\n" );
document.write( "Substituting 27/16 for t in -16t^2 + 54t gives us<BR>\n" );
document.write( "-16(27/16)^2 + 54(27/16)<BR>\n" );
document.write( "-729/16 + 729/8<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-729%2F16+%2B+%282%2F2%29%2A%28729%2F8%29 ALIGN=MIDDLE  ALT=\"-729%2F16+%2B+%282%2F2%29%2A%28729%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-729%2F16+%2B+%282%2A729%2F16%29 ALIGN=MIDDLE  ALT=\"-729%2F16+%2B+%282%2A729%2F16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=729%2F16 ALIGN=MIDDLE  ALT=\"729%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" > or 45 9/16<BR>\n" );
document.write( "See http://www.wolframalpha.com/input/?i=maximum+s%28t%29+%3D+-16t%5E2+%2B+54t\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );