document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=106434>Question 106434</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0435510746/algebrahomeworkh>Mechanics I </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Hey again! :D <BR>\n" );
document.write( "A particle has position 2i + j initially and is moving with speed 10ms-1 in the direction 3i - 4j. Find it's position vector when t = 3 and the distance it has travelled in those 3 seconds. <BR>\n" );
document.write( "I know the distance travelled is Speed * time, so 10 * 3 = 30metres. \r<BR>\n" );
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document.write( "I have already posted this topic, because the people gave the correct answers, ( thanks alot to you all for helping! :P )\r<BR>\n" );
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document.write( "but i still dont understand how you got them, i thought, if in 1 second, you do 3i - 4j\r<BR>\n" );
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document.write( "then in 3 seconds you do, 9i - 12j, add on the original, so 11i - 11j, \r<BR>\n" );
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document.write( "i have no idea how you got to 20i and 23j, i can see with 3i-4j, if you multiply everythign by 6, you get a figure that once added to the original 2i + j, gives the answer, but again why 6? :( Thanks again in advanced </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77446 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=77446\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You start at (2,1)<BR>\n" );
document.write( "In one second you move 10 meters or directionally (6,-8) since<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%5E2%2B8%5E2=10%5E2 ALIGN=MIDDLE  ALT=\"6%5E2%2B8%5E2=10%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "6,8,10 are the Pythagorean triple (3,4,5)x2.<BR>\n" );
document.write( "So in one second you are at (using ordered pair(vector) addition),<BR>\n" );
document.write( "(2,1)+(6,-8)=(8,-7)<BR>\n" );
document.write( "After another second you move another (6,-8)<BR>\n" );
document.write( "(8,-7)+(6,-8)=(14,-15)<BR>\n" );
document.write( "and after the third second, you move another (6,-8)<BR>\n" );
document.write( "(14,15)+(6,-8)=(20,-23)<BR>\n" );
document.write( "If you went on another second, you would move to<BR>\n" );
document.write( "(20,-23)+(6,-8)=(26,-31)<BR>\n" );
document.write( "and so on. <BR>\n" );
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