Which is true about pluto a.) it has nearly as circular orbit b.) it is larger than titan mercury and the moon c.) it is the only body in the solar system without an atmosphere d.)it orbits near the kepler belt

D.)it orbits near the Kepler belt

Explanation:

The Kuiper belt is an area similar to the asteroide belt extending from the orbit of Neptune to about 50 AU from the Sun. It mainly consists of icy asteroids and dwarf planets, which are rocky objects big enough to be defined as planet but that do not have enough gravity to clear their orbit from other obejcts.

Pluto was discovered in 1930 - initially it was classified as a planet, although it is much smaller than the other 8 planets of the Solar System. However, it has been recently de-classified to dwarf planet because its gravity is not enough to clear its orbit from other objects (asteroids). Pluto is located inside the Kuiper belt, so option D is correct. Other dwarf planets in the Kuiper belt are for instance Haumea and Makemake.

Explanation:

You mean the Kuiper Belt, not the Kepler Belt.

The Kuiper Belt refers to the circumstellar disc that is border region of the Solar System, when Pluto it's present. Actually is from the Neptune's orbit to the outer Solar System.

The Kuiper Belt, we can define it as a larger asteroid belt, that contains three dwarf planets: Pluto, Haumea and Makemake. Dwarf planets refers to "planets" that have little mass, but they are not satellites, however they don't domain its region. So, it's like a satellite but we some characteristics of planets.

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.