document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=729848>Question 729848</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The equation h(t)=40sin(5&#960;/4 t - &#960;/2)+55 describes the height, H in cm, that the centre of a yo-yo is above the ground, during standard motion, as a time in seconds.<BR>\n" );
document.write( "(a) Use the equation to determine the:<BR>\n" );
document.write( "(i) length of the string.<BR>\n" );
document.write( "(ii) smallest distance between the yo-yo and the ground.<BR>\n" );
document.write( "(iii) the time taken to complete one swing. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #446267 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=446267\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equation h(t)=40sin(5&#960;/4 t - &#960;/2)+55 describes the height, H in cm, that the centre of a yo-yo is above the ground, during standard motion, as a time in seconds.<BR>\n" );
document.write( "(a) Use the equation to determine the:<BR>\n" );
document.write( "(i) length of the string.<BR>\n" );
document.write( "= 2* the amplitude = 80 cm<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "(ii) smallest distance between the yo-yo and the ground.<BR>\n" );
document.write( "55 - 40 = 15 cm<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "(iii) the time taken to complete one swing.<BR>\n" );
document.write( "= 2pi*(4/5pi) = 1.6 seconds<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );