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" );
document.write( "\n" );
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" );
document.write( "\n" );
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 #149231 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=149231\">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.<BR>\n" );
document.write( " The distance the crab is from the water as it falls can be represented by the<BR>\n" );
document.write( " function h(t)= -16t^2 + 30, where t is time in seconds. <BR>\n" );
document.write( "To catch the crab as it falls, a gull flies along a path represented by the function g(t)= -8t + 15.<BR>\n" );
document.write( " Can the gull catch the crab before the crab hits the water? <BR>\n" );
document.write( ":<BR>\n" );
document.write( "When the gull catches the crab, they will be at the same height, so we can say:<BR>\n" );
document.write( "Gull ht = crab ht<BR>\n" );
document.write( "-8t + 15 = -16t^2 + 30<BR>\n" );
document.write( "16t^2 - 8t + 15 - 30 = 0<BR>\n" );
document.write( "16t^2 - 8t - 15 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(4t - 5)(4t + 3) = 0<BR>\n" );
document.write( "Positive solution<BR>\n" );
document.write( "4t = 5<BR>\n" );
document.write( "t = 1.25 sec they will be at the same height (5 ft)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A graph would would show this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-4%2C+4%2C+-10%2C+30%2C+-16x%5E2%2B30%2C-8x%2B15%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-4%2C+4%2C+-10%2C+30%2C+-16x%5E2%2B30%2C-8x%2B15%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );