Water flows over a waterfall 100m in height. consider 1kg of the water, and assume that no energy is exchanged between this 1kg and its surroundings. a. what is the potential energy of the water at the top of the waterfall relative to its base? b. what is the kinetic energy of the water just before it strikes the bottom? c. after 1kg of water enters the river below the falls, what change as occurred in its state? d. plot all pertinent properties (ke, .)

protons in

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.

c) power lifting, will be your answer.

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deku ❤