The energy collected from the tiles cannot be stored as kinetic energy. what energy transformation is occurring within the tiles

In the most classical notation, we have two types of energy, Kinetic energy, is that one that the objects in the movement have usually is written as K = (m/2)*v^2

And the other type is the potential energy, this energy is the one "stored" that can be transformed into kinetic energy later, for example, an object that is lifted from the ground and remains in your hand has no kinetic energy, but it has potential energy.

Then, the energy in the tyles is stored as "potential energy", of course, this can be more specific, assuming that the tiles are solar tiles, the conversion is from thermal energy or radiation to potential energy (even more specific, if the energy is being stored in a battery, the transformation would be from thermal energy to chemical energy)

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.