document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=751433>Question 751433</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an arrow is shot into the air from a building that is 32ft high. the height of the arrow after t seconds is given by the formula h(t)=-16t^2+48t+32=0<BR>\n" );
document.write( "when will the arrow hit the ground?<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 #457195 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=457195\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16t%5E2%2B48t%2B32=0 ALIGN=MIDDLE  ALT=\"-16t%5E2%2B48t%2B32=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > for t\r<BR>\n" );
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document.write( "Use the quadratic formula to solve for t\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"t+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%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=t+=+%28-%2848%29%2B-sqrt%28%2848%29%5E2-4%28-16%29%2832%29%29%29%2F%282%28-16%29%29 ALIGN=MIDDLE  ALT=\"t+=+%28-%2848%29%2B-sqrt%28%2848%29%5E2-4%28-16%29%2832%29%29%29%2F%282%28-16%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+-16 ALIGN=MIDDLE  ALT=\"a+=+-16\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <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;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+32 ALIGN=MIDDLE  ALT=\"c+=+32\"   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=t+=+%28-48%2B-sqrt%282304-%28-2048%29%29%29%2F%28-32%29 ALIGN=MIDDLE  ALT=\"t+=+%28-48%2B-sqrt%282304-%28-2048%29%29%29%2F%28-32%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=t+=+%28-48%2B-sqrt%282304%2B2048%29%29%2F%28-32%29 ALIGN=MIDDLE  ALT=\"t+=+%28-48%2B-sqrt%282304%2B2048%29%29%2F%28-32%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=t+=+%28-48%2B-sqrt%284352%29%29%2F%28-32%29 ALIGN=MIDDLE  ALT=\"t+=+%28-48%2B-sqrt%284352%29%29%2F%28-32%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=t+=+%28-48%2Bsqrt%284352%29%29%2F%28-32%29 ALIGN=MIDDLE  ALT=\"t+=+%28-48%2Bsqrt%284352%29%29%2F%28-32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-48-sqrt%284352%29%29%2F%28-32%29 ALIGN=MIDDLE  ALT=\"t+=+%28-48-sqrt%284352%29%29%2F%28-32%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=t+=+%28-48%2B16%2Asqrt%2817%29%29%2F%28-32%29 ALIGN=MIDDLE  ALT=\"t+=+%28-48%2B16%2Asqrt%2817%29%29%2F%28-32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-48-16%2Asqrt%2817%29%29%2F%28-32%29 ALIGN=MIDDLE  ALT=\"t+=+%28-48-16%2Asqrt%2817%29%29%2F%28-32%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=t+=+%283-sqrt%2817%29%29%2F2 ALIGN=MIDDLE  ALT=\"t+=+%283-sqrt%2817%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%283%2Bsqrt%2817%29%29%2F2 ALIGN=MIDDLE  ALT=\"t+=+%283%2Bsqrt%2817%29%29%2F2\"   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=t+=+-0.561553 ALIGN=MIDDLE  ALT=\"t+=+-0.561553\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+3.561553 ALIGN=MIDDLE  ALT=\"t+=+3.561553\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Ignore the negative solution (since a negative time doesn't make sense)\r<BR>\n" );
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document.write( "So the only solution is approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+3.561553 ALIGN=MIDDLE  ALT=\"t+=+3.561553\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This means it will take approximately <font color=\"red\">3.561553 seconds</font> for it to hit the ground.<BR>\n" );
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