Consider a glider flying at 400 meters altitude, when suddenly all its static ports become blocked by volcanic ash. The pressure at 400 meters altitude is 96,610 Pascals. The glider then descends to near sea-level and flies at a true airspeed of 25 m/sec. What is the airspeed indicated by the pitot-tube driven airspeed indicator in m/s?

the airspeed indicated by the pitot-tube driven airspeed indicator is 91.23m/s

Explanation:

Pitot tube

U = velocity(m/s)

= stagnation pressure (pa)

= static pressure (pa)

d = fluid density(kg/m³)

v = true velocity

= 101325 + 1/2(1.225)(25)²

d = 1.225kg/m³

the airspeed indicated by the pitot-tube driven airspeed indicator is 91.23m/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.