document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1047578>Question 1047578</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 	A rocketship in free space moves with constant accerlation equal to 6.70 m/s^2. If it started from rest, how far (in meters) will it have traveled by the time it reaches a speed equal to 4.00 percent of the speed of light? (The speed of light is 3.00E+08 m/s.)<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 #663106 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=663106\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 	A rocket ship in free space moves with constant acceleration equal to 6.70 m/s^2. If it started from rest, how far (in meters) will it have traveled by the time it reaches a speed equal to 4.00 percent of the speed of light? (The speed of light is 3.00E+08 m/s.)<BR>\n" );
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document.write( "v = 0.04*3e8 = 1.2e7 m/sec<BR>\n" );
document.write( "Find the time to reach that speed:<BR>\n" );
document.write( "v = a*t<BR>\n" );
document.write( "t = v/a = 1.2e7/6.7<BR>\n" );
document.write( "t =~ 1.8e6 seconds<BR>\n" );
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document.write( "s = at^2/2 = 6.7*3.24e12/2 meters<BR>\n" );
document.write( "s =~ 1.075e13 meters<BR>\n" );
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document.write( "That's about 2x the distance to Pluto. </SPAN>\n" );
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