document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1117684>Question 1117684</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A hanging spring is compressed 3 inches from its rest position and released at t = 0 seconds. It returns to the same position after 0.8 seconds. \r<BR>\n" );
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document.write( "Find:\r<BR>\n" );
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document.write( " a) the amplitude of the motion \r<BR>\n" );
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document.write( "b) the period of the motion\r<BR>\n" );
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document.write( "c) the frequency of the motion \r<BR>\n" );
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document.write( "d) a function that models the displacement, y, of the end of the spring from the rest position at time, t.\r<BR>\n" );
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document.write( "e) the displacement from the rest position at t= 3 min rounded to the tenths place\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 #732885 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=732885\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A hanging spring is compressed 3 inches from its rest position and released at t = 0 seconds. It returns to the same position after 0.8 seconds. \r<BR>\n" );
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document.write( "Find:\r<BR>\n" );
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document.write( " a) the amplitude of the motion<BR>\n" );
document.write( "3 inches<BR>\n" );
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document.write( "b) the period of the motion<BR>\n" );
document.write( "1.6 seconds<BR>\n" );
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document.write( "c) the frequency of the motion<BR>\n" );
document.write( "1/1.6 = 5/8 Hz<BR>\n" );
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document.write( "d) a function that models the displacement, y, of the end of the spring from the rest position at time, t.<BR>\n" );
document.write( "y = 3cos(16t/(5pi))<BR>\n" );
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document.write( "e) the displacement from the rest position at t= 3 min rounded to the tenths place<BR>\n" );
document.write( "y = 3cos(16t/(5pi))<BR>\n" );
document.write( "y @ 180 seconds = y = 3cos(16*180/(5pi)) = 3cos(576/pi) = 1.26879<BR>\n" );
document.write( "--> 1.3 inches\r<BR>\n" );
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