During the summer of 2015, the New Horizon space probe provided the first fly by images of the dwarf planet Pluto. The NASA engineers were amazed to see mountains as high as 3,500 meters displayed across the icy surface. They also observed a canyon that is 7 to 9 kilometers deep. One of the most amazing things about the entire massion was the ability of a space probe, about the size of a piano to travel the enormous distance to the Kuiper Belt object. Which of the following distances best reflects the distance the New Horizon traveled from Earth to Pluto?

A= 32.63 astronomical units

B= 4.67 Light years

C= 7 million kilometers

D= 600,000 miles

we're given that v₀ = 0 and a = 5.4 m/s². therefore, since v = at + v₀ for constant acceleration the equation for velocity is

after 28s,

m/s

which i would round to 150 m/s as my final answer

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.