A vibration sensor, used in testing a washing machine, consists of a cube of aluminum 1.50 cm on edge mounted on one end of a strip of spring
steel (like a hacksaw blade) that lies in a vertical plane. The strip's mass
is small compared with that of the cube, but the strip's length is large
compared with the size of the cube. The other end of the strip is clamped
to the frame of the washing machine that is not operating. A horizontal
force of 1.43 N applied to the cube is required to hold it 2.75 cm away
from its equilibrium position. If it is released, what is its frequency
ofvibration?

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.

answergravity;

answeralert drivers who drift off the road;