Abeam of visible light is passed through a plexiglass container filled with water. if a beam of light comes in at a slight angle, describe the change in the path of the beam of light as it passes through the container, moving in from one side and then out the other. a) the beam of light will bend twice: entering and leaving the container. b) the beam of light will bend three times: small angle of refraction through container wall; larger angle of refraction through water; small angle passing out of a container. eliminate c) the beam of light will refract four times; largest entering container; smaller angles of refraction moving through water, through container wall again, and finally into the air on the outside. d) the beam of light will bend three times: large angle of refraction through container wall; smaller angle of refraction through water; greater angle passing out of a container.

C) The beam of light will refract four times; largest entering container; smaller angles of refraction moving through water, through container wall again, and finally into the air on the outside.

Explanation:

Just got it right on the test

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.