Elaborate on the reason why heating water up will increase the rate of dissolving for a solute. a) the average kinetic energy of the solute molecules decreases with increasing temperature, and it changes the state of dissolution. the increased movement of the solute molecules causes them to break, and thus they dissolve more readily. b) the molecules that make up the solution speed up with increasing temperature. this increase in kinetic energy allows the solvent molecules to more effectively hold themselves together and strengthen the intermolecular attractions between solute molecules. c) the average kinetic energy of the solute molecules also increases with temperature, and it destabilizes the solid state. the increased vibration (kinetic energy) of the solute molecules causes them to hold together better, and thus they dissolve more readily. d) the average kinetic energy of the molecules that make up the solution also increases with increasing temperature. this increase in kinetic energy allows the solvent molecules to more effectively break apart the solute molecules that are held together by intermolecular attractions.

D) The average kinetic energy of the molecules that make up the solution also increases with increasing temperature. This increase in kinetic energy allows the solvent molecules to more effectively break apart the solute molecules that are held together by inter-molecular attractions.

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.