document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198727>Question 198727</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please HELP!! \r<BR>\n" );
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document.write( "A pelican flying in the air over water drops a crab from a height of 30 feet. The distance the crab is from the water as it falls can be represented by the function h(t)= -16t^2 + 30, where t is time in seconds. To catch the crab as it falls, a gull flies along a path represented by the function<BR>\n" );
document.write( " g(t)= -8t + 15. Can the gull catch the crab before the crab hits the water? \r<BR>\n" );
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document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149229 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=149229\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A pelican flying in the air over water drops a crab from a height of 30 feet. The distance the crab is from the water as it falls can be represented by the function h(t)= -16t^2 + 30, where t is time in seconds. To catch the crab as it falls, a gull flies along a path represented by the function g(t)= -8t + 15. Can the gull catch the crab before the crab hits the water? <BR>\n" );
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document.write( "There should be additional specs for this problem, but a simplification is to see if the 2 functions intersect.<BR>\n" );
document.write( "No horizontal info is given, so solve to see if and when <BR>\n" );
document.write( "-16t^2 + 30 = -8t + 15<BR>\n" );
document.write( "-8t^2 + 15 = 0<BR>\n" );
document.write( "8t^2 = 15<BR>\n" );
document.write( "t^2 = 15/8<BR>\n" );
document.write( "The paths intersect (vertically) at t = sqrt(30)/4 seconds<BR>\n" );
document.write( "t = ~ 1.369 seconds from the release of the crab<BR>\n" );
document.write( "at a height of 0 feet, at the surface of the water.<BR>\n" );
document.write( "The crab and the gull meet the water at the same time, not before. </SPAN>\n" );
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