document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=607060>Question 607060</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A gush of wind sends dandelion seeds through the<BR>\n" );
document.write( "air. The path of the seeds can be modelled by the<BR>\n" );
document.write( "equation, h = -4.9t2 + 4t + 8 where h represents<BR>\n" );
document.write( "the height in centimeters and t is time measured in<BR>\n" );
document.write( "seconds. What is the highest height the seeds will<BR>\n" );
document.write( "reach?\r<BR>\n" );
document.write( "\n" );
document.write( "solve please  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #382355 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=382355\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The minus sign in front of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2 ALIGN=MIDDLE  ALT=\"t%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "term tells me that this 2nd degree<BR>\n" );
document.write( "curve has a maximum and not a minimum.<BR>\n" );
document.write( "The t-coordinate of the vertex ( maximum )<BR>\n" );
document.write( "is at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bv%5D+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+t%5Bv%5D+=+-b%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > when the <BR>\n" );
document.write( "form is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+at%5E2+%2B+bt+%2B+c+ ALIGN=MIDDLE  ALT=\"+at%5E2+%2B+bt+%2B+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-4.9+ ALIGN=MIDDLE  ALT=\"+a+=+-4.9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+4+ ALIGN=MIDDLE  ALT=\"+b+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bv%5D+=+-4%2F%282%2A%28-4.9%29%29+ ALIGN=MIDDLE  ALT=\"+t%5Bv%5D+=+-4%2F%282%2A%28-4.9%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%5Bv%5D+=+2%2F4.9+ ALIGN=MIDDLE  ALT=\"+t%5Bv%5D+=+2%2F4.9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bv%5D+=+.4082+ ALIGN=MIDDLE  ALT=\"+t%5Bv%5D+=+.4082+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug this back into equation to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28.4082%29+ ALIGN=MIDDLE  ALT=\"+h%28.4082%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28t%29+=+-4.9t%5E2+%2B+4t+%2B+8+ ALIGN=MIDDLE  ALT=\"+h%28t%29+=+-4.9t%5E2+%2B+4t+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28.4082%29+=+-4.9%2A%28.4082%29%5E2+%2B+4%2A.4082+%2B+8+ ALIGN=MIDDLE  ALT=\"+h%28.4082%29+=+-4.9%2A%28.4082%29%5E2+%2B+4%2A.4082+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28.4082%29+=+-4.9%2A.1666+%2B+1.6326+%2B+8+ ALIGN=MIDDLE  ALT=\"+h%28.4082%29+=+-4.9%2A.1666+%2B+1.6326+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28.4082%29+=+-.8163+%2B+1.6326+%2B+8+ ALIGN=MIDDLE  ALT=\"+h%28.4082%29+=+-.8163+%2B+1.6326+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28.4082%29+=+-.8163+%2B+1.6326+%2B+8+ ALIGN=MIDDLE  ALT=\"+h%28.4082%29+=+-.8163+%2B+1.6326+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28.4082%29+=+8.8163+ ALIGN=MIDDLE  ALT=\"+h%28.4082%29+=+8.8163+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The greatest height in cm is 8.8163 cm<BR>\n" );
document.write( "here's a plot:<BR>\n" );
document.write( "( ignore the negative values of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-2%2C+4%2C+-2%2C+10%2C+-4.9x%5E2+%2B+4x+%2B+8+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-2%2C+4%2C+-2%2C+10%2C+-4.9x%5E2+%2B+4x+%2B+8+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );