document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=177484>Question 177484</A>: <I><SPAN STYLE=\"word-break: break-all;\"> suppose a toy rocket was launched from the ground straight up with initial velocity of 64ft/sec. How many seconds after launch was the rocket 48 feet above 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 #132521 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=132521\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The height function for this is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29+=+-16t%5E2+%2B+v%5Bo%5Dt+%2B+h%5Bo%5D ALIGN=MIDDLE  ALT=\"h%28t%29+=+-16t%5E2+%2B+v%5Bo%5Dt+%2B+h%5Bo%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5Bo%5D ALIGN=MIDDLE  ALT=\"v%5Bo%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the initial velocity and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5Bo%5D ALIGN=MIDDLE  ALT=\"h%5Bo%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the initial height.  You are given that the initial velocity is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5Bo%5D+=+64 ALIGN=MIDDLE  ALT=\"v%5Bo%5D+=+64\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft/sec and the rocket was launched from the ground so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5Bo%5D=+0 ALIGN=MIDDLE  ALT=\"s%5Bo%5D=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29+=+-16t%5E2+%2B+64t+%2B+0 ALIGN=MIDDLE  ALT=\"h%28t%29+=+-16t%5E2+%2B+64t+%2B+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you want to solve for t when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29+=+48 ALIGN=MIDDLE  ALT=\"h%28t%29+=+48\"   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=-16t%5E2+%2B+64t+%2B+0+=+48 ALIGN=MIDDLE  ALT=\"-16t%5E2+%2B+64t+%2B+0+=+48\"   DISABLED_style= \"max-width:90%; height:auto;\" > &#8594; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16t%5E2+%2B+64t+-+48+=+0 ALIGN=MIDDLE  ALT=\"-16t%5E2+%2B+64t+-+48+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Giving you a quadratic in t that can be solved by ordinary means.  Note that you are going to get two different answers.  Does that make sense?  (Hint: What goes up, must come down) </SPAN>\n" );
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