Amanometer consists of an inclined glass tube which communicates with a metal cylinder standing upright; liquid fills the apparatus to a fixed zero mark on the tube when both the cylinder and the tube are open to atmosphere. the upper end of the cylinder is then connected to a gas supply at a pressure p and manometer liquid rises through a distance 1 in the tube. establish the relation; h= si[sina + (3)*] for the pressure head h of water column in terms of inclination a of the tube, specific gravity s of the fluid, and ratio of diameter d of the to the diameter d of the cylinder. also determine the value of so that the error disregarding the change in level in the cylinder will not exceed 0.1 percent when a = 25º

at positions a, g kinetic energy is maximum.

at position d, potential energy is maximum.

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.