There is a good deal of stored energy in gasoline, which makes it useful as fuel for cars. When gasoline is burned in a car engine, what happens to this energy? A. It is destroyed as it is used to make the engine in the car run.
B. Some of it is transformed into kinetic energy and some into potential energy.
C. Some of it makes the car run, but most of it disappears before being transformed.
D. It is transformed into kinetic energy, sound energy, and heat energy.

your answer would be fusion

answer: a) y=-8x+5

a) m= -8

b) m= -2

c) m= 7

d) m= 6

current flows in a wire

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.