document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1153458>Question 1153458</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The height of a projectile launched upward at a speed of 32 feet/second from a height of 48 feet is given by the function: h(t)=-16t^2+32t+48. How long will it take the projectile to hit 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 #775679 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=775679\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "The height of a projectile launched upward at a speed of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32%28ft%2Fs%29 ALIGN=MIDDLE  ALT=\"32%28ft%2Fs%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > from a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=48 ALIGN=MIDDLE  ALT=\"h=48\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet is given by the function: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29=-16t%5E2%2B32t%2B48 ALIGN=MIDDLE  ALT=\"h%28t%29=-16t%5E2%2B32t%2B48\"   DISABLED_style= \"max-width:90%; height:auto;\" > How long will it take the projectile to hit the ground?\r<BR>\n" );
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document.write( "the projectile will hit the ground when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29=0 ALIGN=MIDDLE  ALT=\"h%28t%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=-16t%5E2%2B32t%2B48 ALIGN=MIDDLE  ALT=\"0=-16t%5E2%2B32t%2B48\"   DISABLED_style= \"max-width:90%; height:auto;\" > ......factor\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=-16%28t%5E2-2t-3%29 ALIGN=MIDDLE  ALT=\"0=-16%28t%5E2-2t-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=-16%28t%5E2-3t%2Bt-3%29 ALIGN=MIDDLE  ALT=\"0=-16%28t%5E2-3t%2Bt-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=-16%28%28t%5E2-3t%29%2B%28t-3%29%29 ALIGN=MIDDLE  ALT=\"0=-16%28%28t%5E2-3t%29%2B%28t-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=-16%28t%28t-3%29%2B%28t-3%29%29 ALIGN=MIDDLE  ALT=\"0=-16%28t%28t-3%29%2B%28t-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=-16%28%28t%2B1%29%28t-3%29%29 ALIGN=MIDDLE  ALT=\"0=-16%28%28t%2B1%29%28t-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "we need only positive solution for the time\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=3 ALIGN=MIDDLE  ALT=\"t=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore, the time is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3s ALIGN=MIDDLE  ALT=\"+3s\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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