I am having a little problem with determining a trajectory.
I have a 2D curve, say $\{x(\lambda), y(\lambda)\}$ where $\lambda$ is not time; it is only a parameter that describes the evolution of the curve.
The point can move with a max acceleration defined for every axis; so we will have a $maxAcc_x$ and a $maxAcc_y$. Acceleration can be chosen independently for every axis. I'd like to know the minimum time required to draw the curve.