document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=429660>Question 429660</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Albert Einstein in his theory of relativity showed that if a person travels at nearly the speed of light, then time slows down significantly. Suppose that there are twins; one remains on Earth and the other leaves in a very fast spaceship having velocity v. If the twin on Earth ages T0 years, then according to Einstein the twin in the spaceship ages T years, where\r<BR>\n" );
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document.write( "T(v) = T¬0  sqrt 1-(v/c) squared\r<BR>\n" );
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document.write( "In this formula c represents the speed of light, which is 186,000 miles per second.\r<BR>\n" );
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document.write( "(a)	Evaluate T when v = 0.8c (eight-tenths the speed of light) and T¬0 = 10 years. <BR>\n" );
document.write( "(Hint: Simplify   without using 186,000 miles per second.)\r<BR>\n" );
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document.write( "(b) Interpret your result.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #298489 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=298489\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Albert Einstein in his theory of relativity showed that if a person travels at<BR>\n" );
document.write( " nearly the speed of light, then time slows down significantly.<BR>\n" );
document.write( " Suppose that there are twins; one remains on Earth and the other leaves in a very fast spaceship having velocity v.<BR>\n" );
document.write( " If the twin on Earth ages T0 years, then according to Einstein the twin in the spaceship ages T years, where<BR>\n" );
document.write( "T(v) = T¬0 sqrt 1-(v/c) squared<BR>\n" );
document.write( "T(v) = T-0 * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281-%28v%2Fc%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%281-%28v%2Fc%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In this formula c represents the speed of light, which is 186,000 miles per second.<BR>\n" );
document.write( "(a) Evaluate T when v = 0.8c (eight-tenths the speed of light) and T¬0 = 10 years. <BR>\n" );
document.write( "We can just replace v/c with .8, so we have<BR>\n" );
document.write( "T(v) = 10 * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281-%28.8%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%281-%28.8%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "T(v) = 10 * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281-.64%29 ALIGN=MIDDLE  ALT=\"sqrt%281-.64%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "T(v) = 10 * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28.36%29 ALIGN=MIDDLE  ALT=\"sqrt%28.36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "T(v) = 10 * .6<BR>\n" );
document.write( "T(v) = 6 yrs<BR>\n" );
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document.write( "(b) Interpret your result.<BR>\n" );
document.write( "\"The traveling twin aged only 6 yr while the stay-home twin aged 10 yrs, but <BR>\n" );
document.write( "this would only be apparent when the traveling twin returned home\" </SPAN>\n" );
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