You are camping in a tent, you have some very hot water (700C) in a water bladder, but you realize thatin fact you do not have enough drinking water. Your plan is to melt the block of ice you have seen infront of your tent using the boiling water you have and then treat the entire quantity. You estimate thatthe ice block has about 1 kg and is at a temperature of about -200C. How much water do you need tomelt the ice and rise its temperature to 50C

pretty sure it's false

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.