The figure shows a wheel with a diameter of 60 cm rolling without slipping on a horizontal track. The bar AB measures 1 m, and is hinged to the wheel at B at a point located 25 cm from its center, and the edge A slides freely on the track. Knowing that the center of the wheel advances to the right at a constant speed of 100 cm/s, and $\theta = 0$ when $t = 0$, determine the following as a function of time, in the period between $t = 0$ and the instant that B is at its lowest position:
a) The velocity curve of point A.
b) The curve of the angular acceleration $\alpha_{AB}$ of the bar.
c) The curve of the acceleration of the center of mass G of the bar.
