One additional point to all:
In the acceleration vs. time curves, the area under the curve is proportional to the speed. And when the curve dips below zero, you're losing speed. See how the DCT stays above zero? The area under the curve is greater for the DCT than the rest over the same duration. This is the speed advantage of the DCT. And note that the little jump that the DCT curve takes adds a bit to the speed but not as much as if it were of longer duration. However, because of it's slope, it feels like you're getting a "jerk" and feels faster.
