A bar of length 2 turns about its center as it moves along the x axis from the point where the center of the bar is at x = 0 to the point where the center of the bar is positioned at x = 10 over the time interval [0,1] (see applet below). During this same interval of time, the bar makes one full counterclockwise rotation. Write parametric equations for the curve that represents the path of the right endpoint of the bar (point in blue in the applet). You may use the slider, along with the pause button, to get a sense of how the curve in question is being generated. Use the parameter $\displaystyle {t}$ in your equations.

$\displaystyle {x}{\left({t}\right)}=$ Preview Question 6 Part 1 of 2  

$\displaystyle {y}{\left({t}\right)}=$ Preview Question 6 Part 2 of 2