How is the temperature of a gas related to the kinetic energy of its particles? a) as the temperature extends, the kinetic energy of the particles decreases. b) as the temperature increases, the kinetic energy of the particles increases. c) as the temperature decreases, the kinetic energy of the particles increases. d) as the temperature intensifies, the kinetic energy of the particles decreases.

Option B: As the temperature increases, the kinetic energy of the particles increases.

Explanation: The temperature is a manifestation of energy.

This means that if a given object is increasing its temperature, then the energy of the object is also increasing. And one of the where the energy increases is by an increment in the kinetic energy of the particles in the object.

Then, if the temperature of an object increases, the kinetic energy of the particles also increases.

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.