State archimedes principle

Kindly check explanation

Explanation:

Archimedes principle is a very important concept in fluid mechanics which is credited to the Greek mathematician called Archimedes. The law simply states that; When an object is fully or partially immersed in a fluid , the immersed body experiences an upthrust(Weight loss) which is equal to the weight of fluid displaced by the immersed object.

In essence, the upthrust or volume of Displacement experienced by the object will be equal to the volume of the the object which is immersed in the fluid. Such that the force of buoyancy matches the weight of object immersed in the fluid.

One of the most common illustrations of Archimedes is in the navigation of ships whose upthrust increases as the weight of the ship increases such that the upthrust force balances the weight of the ship in water.

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.

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