Throwing with the wind, a quarterback passes a football 140 ft in 2 s. against the wind, the same pass would have traveled 80 ft in 2 s. find the rate of the pass and the rate of the wind.

When we throw the ball along the direction of the wind then the net speed of the ball is sum of speed of ball and speed of wind.

Now when wind is blowing opposite to the direction of the ball then net speed is subtraction of ball speed and wind speed

Now if we subtract above two equations

so wind speed will be 15 ft/s

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.