The helms pumped storage hydroelectric plant is located 50 miles east of fresno california in the sierra nevada mountain range. the facility consists of an upper reservoir known as the courtright reservoir with a storage capacity of 123000 acre ft. the wishon reservoir serves as the lower reservoir and has a storage of 129000 acre ft.. the plant features 3 reversible pump/turbine machines rated at 350mw each and the average head is known lo be 1625 ft. determine the amount of water contained in the upper reservoir in gallons. determine the potential energy of the reservoir in joules. given the efficiency of the penstock is 95%, determine the velocity of the water in the penstock.

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.