7. Consider a signal from a sensor measuring the vertical displacement of a vehicle suspension system. Suppose you wish to model this signal for a vehicle first traveling over smooth road, then encountering a rumble strip on the side of the road way (Rumble strips are a safety measure to alert drivers who are straying off the road using a series of groves in the road), then moving back to the center. (a) Sketch what you think this signal might look like as a function of time: (b) Choose a mathematical model of this signal and write an expression for it. (c) Plot your result from (b) using Matlab and compare it to your sketch in (a). How well does the model match your sketch?