document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=110059>Question 110059</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When a group of bushwalkers become lost they decide to launch a distress flare vertically into the air from the top of a cliff. at the t seconds after firing, the height h metres, of the flare above the water was h=-5t2+30t+35\r<BR>\n" );
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document.write( "(i) What was the height of the flare above the water at t=0 seconds?\r<BR>\n" );
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document.write( "(ii) How many seconds after firing did the flare reach its maximum height?\r<BR>\n" );
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document.write( "(iii) what was the maximun height when the flare was above:<BR>\n" );
document.write( "(a) the water<BR>\n" );
document.write( "(b) the top of the cliff </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #80185 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=80185\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When a group of bushwalkers become lost they decide to launch a distress flare vertically into the air from the top of a cliff. at the t seconds after firing, the height h metres, of the flare above the water was h(t)=-5t2+30t+35 <BR>\n" );
document.write( "(i) What was the height of the flare above the water at t=0 seconds? <BR>\n" );
document.write( "h(0) = 35 meters<BR>\n" );
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document.write( "(ii) How many seconds after firing did the flare reach its maximum height?<BR>\n" );
document.write( "t = -b/2a = -30/(2*-5)= 3 seconds<BR>\n" );
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document.write( "(iii) what was the maximun height when the flare was above:<BR>\n" );
document.write( "h(3) = -5*3^2+30*3+35 = -45+90+35 = 80 meters<BR>\n" );
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document.write( "(a) the water<BR>\n" );
document.write( "h(3)+35 = 115 meters<BR>\n" );
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document.write( "(b) the top of the cliff<BR>\n" );
document.write( "h(3) = 80 meters<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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