A conducting loop is located in a magnetic field B directed out of the screen and perpendicular to the loop. The magnitude of the field is increasing, what will occur in the conducting loop

  current is induced in the loop in the clockwise direction

Explanation:

The right-hand rule can be used to find the direction of the field created by a current flowing in a loop. When the fingers point in the current's direction, the thumb points in the direction of the field created.

Here, the current induced in the loop creates a field that opposes the change in the externally applied field. If the external field is increasing out of the screen, the current induced in the loop will create a field in the direction into the screen, opposing the change. Hence the induced current will flow clockwise around the loop.

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.