Originally Posted by

**Dotdash13** I am having a problem with the problem:

A wheel of radius 1 meter rests on the *x*-axis with it's center on the *y*-axis. There is a spot on the rim at point (1,1). At time $\displaystyle t=0$ the wheel starts rolling on the *x*-axis towards positive infinity (to the right) at a rate of 1 radian per second. Find parametric equations describing the motion of

(a) The center of the wheel.

(b) The motion of the spot on the rim.

I think I have part *a* figured out. $\displaystyle x=t, y=1$, as the center of the wheel will not go up or down and the arc length on a unit circle is the same as its measure in radians (please correct me if I am wrong)

For *b* I am guessing that I can describe y with $\displaystyle y=sin(t)+1$, but I cannot figure out how to model *x*.

Please point out any points on which I am incorrect, and give any assistance you can.