document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252706>Question 252706</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an emergency flare is fired from a vehicle. its height,h metres, is given by h(t) =-5t^2+35t+50,where t is the time in seconds. what is the maximum height reached by the flare? how long does it take to reach the maximum height? how long does it take the flare to hit 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 #184758 by </B><A HREF=/tutors/aboutme.mpl?userid=soccer139white><B>soccer139white(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=soccer139white><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=soccer139white><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=184758\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> OK first you have to use the formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-b%29%2F%282%2Aa%29 ALIGN=MIDDLE  ALT=\"%28-b%29%2F%282%2Aa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to find your x value<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-350%29%2F%282%2A%28-5%29%29=+3.5 ALIGN=MIDDLE  ALT=\"x=%28-350%29%2F%282%2A%28-5%29%29=+3.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >  That will find your seconds value\r<BR>\n" );
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document.write( "Then you plug in that x value into the original equation and solve for h<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=-5%283.5%29%5E2%2B35%283.5%29%2B50=+111.25 ALIGN=MIDDLE  ALT=\"h=-5%283.5%29%5E2%2B35%283.5%29%2B50=+111.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >  That will find your meters value\r<BR>\n" );
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document.write( "Then your final step is to use the quadratic formula  of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+%0D%0A%0D%0A%7B%7B%7Bx=%28-35+%2B-+sqrt%2835%5E2-4%2A-5%2A50%29%29%2F%282%2A-5%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now simplify and you will end up with 2 answers. For this real life problem your answer will be the positive answer. The negative answer is unreasonable.  \r<BR>\n" );
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