A cam is to provide follower motion as follows: The follower rises, with constant velocity, 4 inches in 2 seconds. The follower then dwells for 3 seconds. The follower then falls, 3 inches, with constant velocity, in 2 seconds. The follower then dwells for 1 second. The follower then falls, 1 inch, with constant velocity, in 4 seconds. (a) (10 points) Using these parameters, draw the displacement and velocity curves for this motion cycle. On these curves, numerically show all displacement, velocity, and time labels. (b) (10 points) Using these parameters, write the displacement, velocity, and acceleration equations for each period of this motion cycle. (c) (10 points) Using these equations, calculate the displacement of the follower at t = 6 seconds.