document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=346028>Question 346028</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A marksman fires at a target 420 meters away and hears the bullet strike 2 seconds after he pulled the trigger. An observer 525 meters away from the target and 455 meters from the marks man hears the bullet strike the target 1 second after he hears the report of the rifle. Find the velocity of the bullet and the velocity of the sound.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #247593 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=247593\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A marksman fires at a target 420 meters away and hears the bullet strike 2<BR>\n" );
document.write( " seconds after he pulled the trigger. <BR>\n" );
document.write( "An observer 525 meters away from the target and 455 meters from the marksman <BR>\n" );
document.write( "hears the bullet strike the target 1 second after he hears the report of the rifle.<BR>\n" );
document.write( " Find the velocity of the bullet and the velocity of the sound.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let s = speed of sound<BR>\n" );
document.write( "Let v = velocity of the bullet<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The Marksman equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=420%2Fv ALIGN=MIDDLE  ALT=\"420%2Fv\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=420%2Fs ALIGN=MIDDLE  ALT=\"420%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2 sec<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The observer equation (bullet is traveling while rifle report is traveling)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=525%2Fs ALIGN=MIDDLE  ALT=\"525%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=420%2Fv ALIGN=MIDDLE  ALT=\"420%2Fv\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=455%2Fs ALIGN=MIDDLE  ALT=\"455%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%2Fs ALIGN=MIDDLE  ALT=\"70%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=420%2Fv ALIGN=MIDDLE  ALT=\"420%2Fv\"   DISABLED_style= \"max-width:90%; height:auto;\" >  = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use elimination here<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=420%2Fv ALIGN=MIDDLE  ALT=\"420%2Fv\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=420%2Fs ALIGN=MIDDLE  ALT=\"420%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=420%2Fv ALIGN=MIDDLE  ALT=\"420%2Fv\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%2Fs ALIGN=MIDDLE  ALT=\"70%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" >  = 1<BR>\n" );
document.write( "--------------------------------subtraction eliminates v, find s<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=350%2Fs ALIGN=MIDDLE  ALT=\"350%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "s = 350 m/sec is the speed of sound<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find v<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%2F350 ALIGN=MIDDLE  ALT=\"70%2F350\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=420%2Fv ALIGN=MIDDLE  ALT=\"420%2Fv\"   DISABLED_style= \"max-width:90%; height:auto;\" >  = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F5 ALIGN=MIDDLE  ALT=\"1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=420%2Fv ALIGN=MIDDLE  ALT=\"420%2Fv\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply by 5v<BR>\n" );
document.write( "v + 5(420) = 5v<BR>\n" );
document.write( "2100 = 5v - v<BR>\n" );
document.write( "2100 = 4v<BR>\n" );
document.write( "v = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2100%2Fv ALIGN=MIDDLE  ALT=\"2100%2Fv\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "v = 525 m/sec is the bullet velocity<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Confirm these values in the Marksman equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=420%2F525 ALIGN=MIDDLE  ALT=\"420%2F525\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=420%2F350 ALIGN=MIDDLE  ALT=\"420%2F350\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( ".8 + 1.2 = 2 sec </SPAN>\n" );
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