document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1022728>Question 1022728</A>: <I><SPAN STYLE=\"word-break: break-all;\"> CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM PLEASE PLEASE PLEASE ANSWER WITH STEP BY STEP WILL BE APPRECIATED!!! THANKS IN ADVANCE &#9786;<BR>\n" );
document.write( "The niagara falls sky wheel one of the tallest ferris wheels in north america is in niagara falls ontario ot has a diameter of 50.5 m and rotates 1 revolutionin 2 min the lowest point on the wheel is 2.5m from the ground <BR>\n" );
document.write( "a) sketch a graph that shows the height of a rider over time for one rotation <BR>\n" );
document.write( "b) what is the highest point a rider will reach?<BR>\n" );
document.write( "c)Write an equation that will model the height of a rider over time .<BR>\n" );
document.write( "d)use your equation to find the height of the rider after 10 seconds <BR>\n" );
document.write( "e)How would your graph and equation change if the skywheel was set to a max speed of 1.5 revolution per min? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #638352 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=638352\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> at time 0, the height is 2.5m<BR>\n" );
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document.write( "With a diameter of 50.5 meters, the wheel has a radius of 25.25 meters.  The height will oscillate with amplitude of 25.25 meters above and below the center.<BR>\n" );
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document.write( "Riders board 2.5 meters above ground level, so the center of the wheel must be located 25.25 + 2.5 = 27.75 meters above ground level.  The midline of the oscillation will be at 27.75 meters.<BR>\n" );
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document.write( "The wheel takes 2 minutes to complete 1 revolution, so the height will oscillate with period of 2 minutes.<BR>\n" );
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document.write( "Lastly, since the rider boards at the lowest point, the height will start at the smallest value and increase, following the shape of a flipped cosine curve.<BR>\n" );
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document.write( "The equation for the rider's height will be<BR>\n" );
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document.write( "h(t) = -25.25cos(pi*t) + 27.75<BR>\n" );
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