document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199100>Question 1199100</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a model for simple harmonic motion that has an initial displacement (t=0) of 5 inches,  an amplitude of 5 inches, and a frequency of 4/3 cycles per second. \r<BR>\n" );
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document.write( "The correct answer is one of the following.  Which one is correct?\r<BR>\n" );
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document.write( "A) d=5cos[(8pi/3)(t)]\r<BR>\n" );
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document.write( "B) d=5sin[(8pi/3)(t)]\r<BR>\n" );
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document.write( "C) d=5cos[(3pi/8)(t)]\r<BR>\n" );
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document.write( "D) d=5sin[(3pi/8)(t)] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832806 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=832806\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The initial displacement at t = 0 is non-zero, thus the model must <BR>\n" );
document.write( "use a cosine function. If the frequency is 4/3 cycles per sec, and 1 cycle<BR>\n" );
document.write( "is 2*pi, the angular frequency is 8*pi/3. The general form of the function is:<BR>\n" );
document.write( "d(t) = A*cos(w*t) there A = the amplitude and w = the angular frequency.<BR>\n" );
document.write( "For this case A = 5 and w = 8*pi/3, so the answer is A).<BR>\n" );
document.write( "The graph is below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=htmentor&illustration_name=SHM.png\"> </SPAN>\n" );
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