Which statement describes one of the future of Rutherford‘s model of the
atom

Explanation:Before to Rutherford, the accepted model for the atom was Thomson's model:

The atoms were a positive sphere, with electrons occupying space in it".

This was called the "plum pudding model".

Then came Ernest Rutherford, and he created a model where the atoms are mostly empty space (void) with a positive charged nucleus (really compressed in the center), and the electrons were orbiting around it.

Then the correct option is that the atom is mostly empty space.

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.