Next: Zero Lateral Acceleration
The track created should have continuous curvature not only throughout each element, but also throughout the transitions between elements. The reason for this is that it is desirable to avoid discontinuities in the force exerted on the car. Since a component of that force comes from centripetal acceleration, which is directly proportional to the curvature, the curvature must remain continuous. A discontinuity would not only be uncomfortable for the rider, but may result in excessive wear of the track and the car. In this way, a better track is created, both in terms of passenger experience and ride maintenance.