document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=844676>Question 844676</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how would you solve this problem and show work i'm trying to understand the concept, i have a test coming up soon.thank you\r<BR>\n" );
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document.write( "Three novice sailors were attempting to sail to Cancun mexico from fl during the Christmas break when a storm overtook them. the most composed of the sailors fired a shot with the flare gun straight up into the air hoping against hope that someone would see the distress signal. The height H of the flare, in meters above the \"ground\", t seconds after firing, can be modeled by the function: H(t)=-4.9t^2+166t+2.2\r<BR>\n" );
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document.write( "based on the height model, is it likely the sailor was sitting or standing in the raft when he fired the flare gun? How do you know?\r<BR>\n" );
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document.write( "give the height from which the flare was fired in meters?\r<BR>\n" );
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document.write( "give the maximum height reached by the flare?\r<BR>\n" );
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document.write( "How long did it take for the flare to reach the maximum height?\r<BR>\n" );
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document.write( "how long was the flare in the air? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #508867 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=508867\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The height H of the flare, in meters above the \"ground\", t seconds after firing, can be modeled by the function: H(t)=-4.9t^2+166t+2.2\r<BR>\n" );
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document.write( "based on the height model, is it likely the sailor was sitting or standing in the raft when he fired the flare gun? How do you know?<BR>\n" );
document.write( "The flare was fired at t = 0<BR>\n" );
document.write( "h(0) = 2.2 meters, not likely to be in a raft.<BR>\n" );
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document.write( "give the height from which the flare was fired in meters? 2.2 meters, see above.<BR>\n" );
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document.write( "give the maximum height reached by the flare?<BR>\n" );
document.write( "Max height is the vertex of the parabola, at t = -b/2a<BR>\n" );
document.write( "t = -166/-9.8 = 830/49 seconds =~16.939 seconds<BR>\n" );
document.write( "h(830/49) = 1408.118 meters<BR>\n" );
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document.write( "How long did it take for the flare to reach the maximum height?<BR>\n" );
document.write( "830/49 seconds<BR>\n" );
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document.write( "how long was the flare in the air?<BR>\n" );
document.write( "Neglect the 2.2 meters from the firing point --> 2*830/49 seconds<BR>\n" );
document.write( "830/49 secs going up, same falling </SPAN>\n" );
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