Quick consider the average speed of a runner who jogs around a track four times. the distance (400m) remains constant for each lap. however, each lap is run 5 seconds slower than the first. the time for each lap increases. the average speed for each lap this is an example of a(n) relationship. a) increases, direct b) decreases, direct c) increases, inverse d) decreases, inverse note: if you have a question do not ask it in the answer section of this question.

(D) decreases, inverse

Average speed of a body is defined as the ratio of the distance traveled to the time taken to travel the distance. The runner runs the same distance  of 400 m during each lap but takes 5 seconds more for each lap.

Since , as time increases, the average speed for each lap increases.

Thus, when the distance traveled is the same. This is an example of an inverse proportionality relationship.

the entire statement is true and correct.  

there's no diagram, nothing is illustrated, and no question is asked.

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.