document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1035649>Question 1035649</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An object's motion is described by the equation: d=5cos(pi/3(t))\r<BR>\n" );
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document.write( "The displacement d, is measured in meters. The time t, is measured in seconds.<BR>\n" );
document.write( "Answer the following questions, showing all work:\r<BR>\n" );
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document.write( "(a) What is the object's position at t=0?<BR>\n" );
document.write( "(b) What is the object's maximum displacement from its equilibrium position?<BR>\n" );
document.write( "(c) How much time is required for one oscillation?<BR>\n" );
document.write( "(d) At what time will the object first reach its equilibrium position (hint: d=0)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #650287 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=650287\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> At t=0, the function is d=5 cos (0)=5<BR>\n" );
document.write( "The maximum displacement is the cosine coefficient or 5.<BR>\n" );
document.write( "For one oscillation, the period, it is 2pi/(pi/3)=6<BR>\n" );
document.write( "For the equilibrium position, it is one-quarter of the period, or 1.5 pi/3<BR>\n" );
document.write( "and 4.5 pi/3.  The cosine is 1 at 0, 0 at pi/2 and again at 3pi/2 </SPAN>\n" );
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