Heliocentric theory:
a)was proven incorrect by geocentric theory
b)was immediately accepted by the scientific community
c)proposed that the sun was the center of the solar system
d)demonstrated the elliptical nature of planetary orbits

C) proposed that the sun was the center of the solar system      

Explanation:

The Heliocentric model was proposed by Nicholaus Copernicus which describes the sun at the center of the solar system. The Earth with other planets and moons revolves around it in concentric orbits. Later, Kepler gave planetary laws which describes the planetary orbits as elliptical. Before heliocentric model, Ptolemy's geocentric model was popular which considered Earth as the center but it was proven incorrect with the Heliocentric model.

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.