document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=89492>Question 89492</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The height h in feet of an object after t seconds is given by the function <BR>\n" );
document.write( "	h = –16t^2 + 90t + 3.  <BR>\n" );
document.write( "How long will it take the object to hit the ground?  Round your answer to the nearest thousandth, and explain which solution is the correct one.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #65059 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=65059\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The height h in feet of an object after t seconds is given by the function<BR>\n" );
document.write( "h = –16t^2 + 90t + 3.<BR>\n" );
document.write( "How long will it take the object to hit the ground? Round your answer to the nearest thousandth, and explain which solution is the correct one.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "When the object strikes the ground, h = 0, so we have:<BR>\n" );
document.write( "-16t^2 + 90t + 3 = 0<BR>\n" );
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document.write( "A quadratic equation, that requires the quadratic formula to solve:<BR>\n" );
document.write( "a = -16, b = 90, c = 3<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-90+%2B-+sqrt%28+90%5E2+-+4+%2A+-16+%2A+3+%29%29%2F%282%2A-16%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-90+%2B-+sqrt%28+90%5E2+-+4+%2A+-16+%2A+3+%29%29%2F%282%2A-16%29+\"   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+=+%28-90+%2B-+sqrt%28+8100+-+%28-192%29+%29%29%2F%28-32%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-90+%2B-+sqrt%28+8100+-+%28-192%29+%29%29%2F%28-32%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-90+%2B-+sqrt%28+8100+%2B+192+%29%29%2F%28-32%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-90+%2B-+sqrt%28+8100+%2B+192+%29%29%2F%28-32%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >; minus a minus is a plus<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-90+%2B-+sqrt%28+8292+%29%29%2F%28-32%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-90+%2B-+sqrt%28+8292+%29%29%2F%28-32%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Do the math here and you should get two solutions:<BR>\n" );
document.write( "t = 5.658<BR>\n" );
document.write( "and<BR>\n" );
document.write( "t = -.033<BR>\n" );
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document.write( "Obviously, it cannot be a neg value when you are dealing with time of an event<BR>\n" );
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