document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042625>Question 1042625</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There is a famous Ferris Wheel and it has a diameter of about 24m and rotates at a rate of 1 revolution every 32 seconds. The ride lasts for 192 seconds. The total height of the structure is 27m, as the wheel is 3 m off the ground.\r<BR>\n" );
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document.write( "A) Sketch a graph that would model your height above the ground in relation to time of ride. Assume you board the wheel at its lowest point.<BR>\n" );
document.write( "B)If your friends had boarded before you, indicate on the graph where they might be at the start of the ride?<BR>\n" );
document.write( "C) What if the Ferris wheel spun backward. How might that change your graph?\r<BR>\n" );
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document.write( "Thank you for looking at this, i have been trying to figure this out for days now. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #657622 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=657622\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+If+you+begin+at+the+bottom+at+%7B%7B%7B+t=0+ ALIGN=MIDDLE  ALT=\"+If+you+begin+at+the+bottom+at+%7B%7B%7B+t=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then the<BR>\n" );
document.write( "graph that describes the ride is a sine function.<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "In order to always be positive and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+ ALIGN=MIDDLE  ALT=\"+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > m above the t-axis<BR>\n" );
document.write( " I add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+24%2F2+%2B+3+=+15+ ALIGN=MIDDLE  ALT=\"+24%2F2+%2B+3+=+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "to the sine function. Also, I multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+ ALIGN=MIDDLE  ALT=\"+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+24+ ALIGN=MIDDLE  ALT=\"+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" > m peak to peak<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "In order to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2Api+ ALIGN=MIDDLE  ALT=\"+2%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" > radians every <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+32+ ALIGN=MIDDLE  ALT=\"+32+\"   DISABLED_style= \"max-width:90%; height:auto;\" > sec, the <BR>\n" );
document.write( "function has to be:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28t%29+=+12%2Asin%28+%28pi%2F16%29%2At+%29+%2B+15+ ALIGN=MIDDLE  ALT=\"+h%28t%29+=+12%2Asin%28+%28pi%2F16%29%2At+%29+%2B+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time of the ride in seconds<BR>\n" );
document.write( "(A)<BR>\n" );
document.write( "Here's the plot of this function for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+192%2F32+=+6+ ALIGN=MIDDLE  ALT=\"+192%2F32+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > periods<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+900%2C+500%2C+-20%2C+192%2C+-10%2C+30%2C+12%2Asin%28+%28pi%2F16%29%2Ax+%29+%2B+15+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "(B)<BR>\n" );
document.write( "Here's my graph plus that of friends who boarded before me ( 1/8 of a rotation ahead )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12%2Asin%28%28+pi%2F16%29%2At+%2B+pi%2F4%29+%2B+15+%29+ ALIGN=MIDDLE  ALT=\"+12%2Asin%28%28+pi%2F16%29%2At+%2B+pi%2F4%29+%2B+15+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+900%2C+500%2C+-20%2C+192%2C+-10%2C+30%2C+12%2Asin%28+%28pi%2F16%29%2Ax+%29+%2B+15%2C+12%2Asin%28%28+pi%2F16%29%2Ax+%2B+pi%2F4%29+%2B+15+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(C)<BR>\n" );
document.write( "Rotating the opposite direction means the sine is inverted ( negative )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-12%2Asin%28+%28pi%2F16%29%2Ax+%29+%2B+15+%29+ ALIGN=MIDDLE  ALT=\"+-12%2Asin%28+%28pi%2F16%29%2Ax+%29+%2B+15+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+900%2C+500%2C+-20%2C+192%2C+-10%2C+30%2C+-12%2Asin%28+%28pi%2F16%29%2Ax+%29+%2B+15+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Hope this all makes sense -what I do piece it together<BR>\n" );
document.write( "and force it to conform to the requirements<BR>\n" );
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