document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=399543>Question 399543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During a chemistry experiment, the cork in<BR>\n" );
document.write( "a 0.6-foot tall beaker with an effervescent so-<BR>\n" );
document.write( "lution pops off with an initial velocity of 23<BR>\n" );
document.write( "feet per second. The quadratic model for the<BR>\n" );
document.write( "situation is\r<BR>\n" );
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document.write( "h = &#8722;16t^2 + vt + s,\r<BR>\n" );
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document.write( "where v is the initial velocity, t is in seconds,<BR>\n" );
document.write( "and s is the initial height.<BR>\n" );
document.write( "How many seconds does it take for the cork<BR>\n" );
document.write( "to hit the table?<BR>\n" );
document.write( "Answer in units of sec. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #282923 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=282923\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Another way to ask the question is:<BR>\n" );
document.write( "when is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" > equal to zero?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+-16t%5E2+%2B+23t+%2B+.6 ALIGN=MIDDLE  ALT=\"0+=+-16t%5E2+%2B+23t+%2B+.6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-160t%5E2+%2B+230t+%2B+6+=+0 ALIGN=MIDDLE  ALT=\"-160t%5E2+%2B+230t+%2B+6+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-80t%5E2+%2B+115t+%2B+3+=+0 ALIGN=MIDDLE  ALT=\"-80t%5E2+%2B+115t+%2B+3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the quadratic formula:<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" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+-80 ALIGN=MIDDLE  ALT=\"a+=+-80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+115 ALIGN=MIDDLE  ALT=\"b+=+115\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+3 ALIGN=MIDDLE  ALT=\"c+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-115+%2B-+sqrt%28+115%5E2+-+4%2A%28-80%29%2A3+%29%29%2F%282%2A%28-80%29%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-115+%2B-+sqrt%28+115%5E2+-+4%2A%28-80%29%2A3+%29%29%2F%282%2A%28-80%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+=+%28-115+%2B-+sqrt%28+13225+%2B+960+%29%29%2F%28-160%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-115+%2B-+sqrt%28+13225+%2B+960+%29%29%2F%28-160%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+=+%28-115+%2B-+sqrt%28+14185+%29%29%2F%28-160%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-115+%2B-+sqrt%28+14185+%29%29%2F%28-160%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+=+%28-115+%2B+119.1008%29%2F%28-160%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-115+%2B+119.1008%29%2F%28-160%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+4.1008%29%2F%28-160%29+ ALIGN=MIDDLE  ALT=\"t+=+%28+4.1008%29%2F%28-160%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (can't use a negative result)<BR>\n" );
document.write( "also, the other root:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-115+-+119.1008%29%2F%28-160%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-115+-+119.1008%29%2F%28-160%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+=+1.463 ALIGN=MIDDLE  ALT=\"t+=+1.463\"   DISABLED_style= \"max-width:90%; height:auto;\" > sec<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "I'll see if this gives me <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+0 ALIGN=MIDDLE  ALT=\"h+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-80t%5E2+%2B+115t+%2B+3+=+0 ALIGN=MIDDLE  ALT=\"-80t%5E2+%2B+115t+%2B+3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-80%2A1.463%5E2+%2B+115%2A1.463+%2B+3+=+0 ALIGN=MIDDLE  ALT=\"-80%2A1.463%5E2+%2B+115%2A1.463+%2B+3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-80%2A2.1404+%2B+168.245+%2B+3+=+0 ALIGN=MIDDLE  ALT=\"-80%2A2.1404+%2B+168.245+%2B+3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-171.232+%2B+171.245+=+0 ALIGN=MIDDLE  ALT=\"-171.232+%2B+171.245+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.013+=+0 ALIGN=MIDDLE  ALT=\".013+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is too big an error, but I don't know what<BR>\n" );
document.write( "happened. The method should be good, though \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );