Here is a solution for the problem 534B - Covered Path

Here is my submission in Python: 10688757.

At least that's how I understood the problem by reading other people's solutions here. The only problem with that interpretation though is that there is a sudden jump in the velocity at times 1, 2, ..., t-1, so the velocities look like step functions. This would mean that the acceleration at those times is infinite. Did I misinterpret the problem?