At a certain instant, the earth, the moon, and a stationary 1010 kg spacecraft lie at the vertices of an equilateral triangle whose sides are 3.84×105km in length. Part APart complete Find the magnitude of the net gravitational force exerted on the spacecraft by the earth and moon. Express your answer to three significant figures. F = 2.75 N Previous Answers Correct Part B Find the direction of the net gravitational force exerted on the spacecraft by the earth and moon. State the direction as an angle measured from a line connecting the earth and the spacecraft. Express your answer to three significant figures. ∘ Previous AnswersRequest Answer Incorrect; Try Again; 8 attempts remaining Part CPart complete What is the minimum amount of work that you would have to do to move the spacecraft to a point far from the earth and moon? You can ignore any gravitational effects due to the other planets or the sun. Express your answer to three significant figures. W = 1.06×109 J Previous Answers Correct Provide Feedback

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.