document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1132492>Question 1132492</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an arrow is shot vertically upward with a speed of 288ft/s, and 3.00 s later another is shot up at a speed of 240 ft/s. will they meet? If so, where? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #749533 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=749533\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> arrow is shot vertically upward with a speed of 288ft/s, and 3.00 s later another is shot up at a speed of 240 ft/s. will they meet? If so, where?<BR>\n" );
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document.write( "Using 32 ft/sec/sec for gravity:<BR>\n" );
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document.write( " will they meet?<BR>\n" );
document.write( "The 1st arrows height h(t) = -16t^2 + 288t<BR>\n" );
document.write( "At t = 3 seconds, h(3) = -16*9 + 288*3 = 720 feet<BR>\n" );
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document.write( "Its speed = 288 - 3*32 = 192 ft/sec<BR>\n" );
document.write( "From that point, its height = -16t^2 + 192t + 720<BR>\n" );
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document.write( "The 2nd arrows height = -16t^2 + 240t<BR>\n" );
document.write( "When the 2nd arrow is launched, the 1st arrows height = -16t^2 + 192t + 720<BR>\n" );
document.write( "Find where the 2 heights are equal.<BR>\n" );
document.write( "-16t^2 + 192t + 720 = -16t^2 + 240t<BR>\n" );
document.write( "48t = 720<BR>\n" );
document.write( "t = 15 seconds --- that's 15 seconds from the 2nd launch.<BR>\n" );
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document.write( "For the 1st arrow:  h = -16*18^2 + 288*18 = 0 feet AGL<BR>\n" );
document.write( "For the 2nd arrow:  h = -16*15^2 + 240*15 = 0<BR>\n" );
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document.write( "They meet at impact, 18 seconds after the 1st launch<BR>\n" );
document.write( " </SPAN>\n" );
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