document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1095296>Question 1095296</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An arrow is fired straight up from the ground with an initial velocity of 192 feet per second. Its height, s(t), in feet at any time t is given by the function s(t)=-16t^2+192t. Find the interval of time for which the height of the arrow is greater than 252 feet.<BR>\n" );
document.write( "Please show work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #709842 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=709842\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%28t%29+=+-16t%5E2+%2B+192t+ ALIGN=MIDDLE  ALT=\"+s%28t%29+=+-16t%5E2+%2B+192t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-16t%5E2+%2B+192t+%3E+252+ ALIGN=MIDDLE  ALT=\"+-16t%5E2+%2B+192t+%3E+252+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-4t%5E2+%2B+48t+-+63+%3E+0+ ALIGN=MIDDLE  ALT=\"+-4t%5E2+%2B+48t+-+63+%3E+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4a%2Ac+%29%29+%2F+%28+2a+%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4a%2Ac+%29%29+%2F+%28+2a+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-4+ ALIGN=MIDDLE  ALT=\"+a+=+-4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+48+ ALIGN=MIDDLE  ALT=\"+b+=+48+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-63+ ALIGN=MIDDLE  ALT=\"+c+=+-63+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+-48+%2B-+sqrt%28+48%5E2+-+4%2A%28-4%29%2A%28-63%29+%29%29+%2F+%28+2%2A%28-4%29+%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-48+%2B-+sqrt%28+48%5E2+-+4%2A%28-4%29%2A%28-63%29+%29%29+%2F+%28+2%2A%28-4%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+-48+%2B-+sqrt%28+2304+-+1008+%29+%29+%2F+%28+-8+%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-48+%2B-+sqrt%28+2304+-+1008+%29+%29+%2F+%28+-8+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+-48+%2B-+sqrt%28+1296+%29+%29+%2F+%28-8%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-48+%2B-+sqrt%28+1296+%29+%29+%2F+%28-8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+-48+%2B+36+%29+%2F+%28-8%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-48+%2B+36+%29+%2F+%28-8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+12%2F8+ ALIGN=MIDDLE  ALT=\"+t+=+12%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+3%2F2+ ALIGN=MIDDLE  ALT=\"+t+=+3%2F2+\"   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+=+%28+-48+-+36+%29+%2F+%28-8%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-48+-+36+%29+%2F+%28-8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+84%2F8+ ALIGN=MIDDLE  ALT=\"+t+=+84%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+10.5+ ALIGN=MIDDLE  ALT=\"+t+=+10.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "The interval of time for which <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%28t%29+%3E+252+ ALIGN=MIDDLE  ALT=\"+s%28t%29+%3E+252+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.5+%3C+t+%3C+10.5+ ALIGN=MIDDLE  ALT=\"+1.5+%3C+t+%3C+10.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > sec<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "here's the plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28++400%2C+400%2C+-3%2C+15%2C+-60%2C+600%2C+-16x%5E2+%2B+192x+%29+ ALIGN=MIDDLE  ALT=\"+graph%28++400%2C+400%2C+-3%2C+15%2C+-60%2C+600%2C+-16x%5E2+%2B+192x+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Looks about right </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );