Circular motion can be modeled by using the para-metric representations of the form x(t) = sin t and y(t) = cos I. (A parametric representation means that a variable, t in this case, determines both x(t) and y(t).) This will give the full circle for 0 s t s 24r. If we consider a 4-foot-diameter wheel making one complete rotation clockwise once every 10 seconds, show that the motion of a point on the rim of the wheel can be represented by x(t) = 2 sine/WS) and y(t) = 2 cos(M/5). (a) Find the positions of the point on the rim of the wheel when t = 2 seconds, 6 seconds, and 10 seconds. Where was this point when the wheel started to rotate at t = 0? (b) How will the formulas giving the motion of the point change if the wheel is rotating counterclockwise. (c) At what value of t is the point at (2,0) for the first time?