What energy transformation happening when starting a car

Explanation:

We're starting a car. We have the fuel in the engine, and when the engine starts, that fuel is converted into power to move the car. The fuel is made of chemicals, right? Propane, gasoline, so on. What kind of energy comes from chemicals? Chemical energy, right?

That fuel is chemical energy, and the energy to move the car must be kinetic/mechanical energy. However, that's not the only source of mechanical energy.

There's another source of mechanical energy here as well: we have an electric battery. What kind of energy is found in a battery? The battery has electricity, and so it has electrical energy. Some of that electrical energy turns into mechanical energy when the car starts up.

But the engine heats up as well, right? There's one more energy that the electrical energy and chemical energy produce here: thermal energy. That's the source of the heat.

I hope this makes sense for you. Have a wonderful day!

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.