document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=993688>Question 993688</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If an object is projected vertically upward from ground level with an initial velocity of 240 ft/sec, then its distance s above the ground after t seconds is given by   s = &#8722;12t^2 + 240t.For what values of t will the object be more than 1188 feet above the ground? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #612904 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=612904\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You need to find:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%3E+1188+ ALIGN=MIDDLE  ALT=\"+s+%3E+1188+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-12t%5E2+%2B+240t+%3E+1188+ ALIGN=MIDDLE  ALT=\"+-12t%5E2+%2B+240t+%3E+1188+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-t%5E2+%2B+120t+%3E+594+ ALIGN=MIDDLE  ALT=\"+-t%5E2+%2B+120t+%3E+594+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First find:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-t%5E2+%2B+120t+=+594+ ALIGN=MIDDLE  ALT=\"+-t%5E2+%2B+120t+=+594+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Complete the square:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2+-+120t+%2B+%28+-120%2F2+%29%5E2+=+-594+%2B+%28+-120%2F2+%29%5E2+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+120t+%2B+%28+-120%2F2+%29%5E2+=+-594+%2B+%28+-120%2F2+%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2+-+120t+%2B+3600+=+-594+%2B+3600+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+120t+%2B+3600+=+-594+%2B+3600+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+t+-+60+%29%5E2+=+3006+ ALIGN=MIDDLE  ALT=\"+%28+t+-+60+%29%5E2+=+3006+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+t+-+60+%29%5E2+=+54.827%5E2+ ALIGN=MIDDLE  ALT=\"+%28+t+-+60+%29%5E2+=+54.827%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+-+60+=+54.827+ ALIGN=MIDDLE  ALT=\"+t+-+60+=+54.827+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+114.827+ ALIGN=MIDDLE  ALT=\"+t+=+114.827+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and also:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+-+60+=+-54.827+ ALIGN=MIDDLE  ALT=\"+t+-+60+=+-54.827+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+5.173+ ALIGN=MIDDLE  ALT=\"+t+=+5.173+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "The values of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > for which <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-12t%5E2+%2B+240t+%3E+1188+ ALIGN=MIDDLE  ALT=\"+-12t%5E2+%2B+240t+%3E+1188+\"   DISABLED_style= \"max-width:90%; height:auto;\" > are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5.173+%3C+t+%3C+114.827+ ALIGN=MIDDLE  ALT=\"+5.173+%3C+t+%3C+114.827+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+5.1+ ALIGN=MIDDLE  ALT=\"+t+=+5.1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-12t%5E2+%2B+240t+%3E+1188+ ALIGN=MIDDLE  ALT=\"+-12t%5E2+%2B+240t+%3E+1188+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-12%2A5.1%5E2+%2B+240%2A5.1+%3E+1188+ ALIGN=MIDDLE  ALT=\"+-12%2A5.1%5E2+%2B+240%2A5.1+%3E+1188+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-12%2A26.01+%2B+1224+%3E1188+ ALIGN=MIDDLE  ALT=\"+-12%2A26.01+%2B+1224+%3E1188+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-312.12+%2B+1224+%3E+1188+ ALIGN=MIDDLE  ALT=\"+-312.12+%2B+1224+%3E+1188+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+911.88+%3E+1188+ ALIGN=MIDDLE  ALT=\"+911.88+%3E+1188+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is not true, as it must be<BR>\n" );
document.write( "Now check for:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+114.85+ ALIGN=MIDDLE  ALT=\"+t+=+114.85+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the inequality<BR>\n" );
document.write( "must also be NOT true </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );