document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1066021>Question 1066021</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in a time of t hours, a particle moves a distance of s kilometers from its starting point, where s=e^t*tan(t)\r<BR>\n" );
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document.write( "find the average velocity between t = o.25 and t = 0.25 + h if<BR>\n" );
document.write( "h = 0.01<BR>\n" );
document.write( "h = 0.001<BR>\n" );
document.write( "h = 0.0001<BR>\n" );
document.write( "can somebody help me with this by showing me how to do it and explain it? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #681277 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=681277\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> average velocity = Net displacement / Total time<BR>\n" );
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document.write( "I assume the particle is moving in a straight line, otherwise, one has to deal with projections from the particle to the initial line defined at time 0.25<BR>\n" );
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document.write( "for t = 0.25, the particle is at position<BR>\n" );
document.write( "s = e^(0.25*tan(0.25)) = 1.001091433 Km<BR>\n" );
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document.write( "for h = 0.01, t = 0.25 + 0.01 = 0.26<BR>\n" );
document.write( "s = e^(0.26*tan(0.26)) = 1.001180547 Km<BR>\n" );
document.write( "average velocity = (1.001180547 - 1.001091433) / (0.01) = 0.0089114 Km / hour<BR>\n" );
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document.write( "for h = 0.001, t = 0.25 + 0.001 = 0.251<BR>\n" );
document.write( "s = e^(0.251*tan(0.251)) = 1.001100187 Km<BR>\n" );
document.write( "average velocity = (1.001100187 - 1.001091433) / (0.001) = 0.008754 Km / hour<BR>\n" );
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document.write( "for h = 0.0001, t = 0.25 + 0.0001 = 0.2501<BR>\n" );
document.write( "s = e^(0.2501*tan(0.2501)) = 1.001092307 Km<BR>\n" );
document.write( "average velocity = (1.001092307 - 1.001091433) / (0.0001) =  0.000874 Km / hour<BR>\n" );
document.write( ":\r<BR>\n" );
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document.write( " </SPAN>\n" );
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