A state trooper chases a speeder along a straight stretch of road; both vehicles move at 164 km/h. The siren on the trooper's vehicle produces sound at a frequency of 475 Hz and the speed of sound in the air is 343 m/s. What is the Doppler shift in the frequency heard by the speeder

The Doppler effect can be calculated by:

f' = ((v - v0)/(v -vs))*f

where f is the frequency, v is the velocity of the wave, v0 is the velocity of the observer and vs is the velocity of the source.

But the observer and the source move at the same speed (bot cars have the same velocity), so here we will not see the doppler effect the relative velocity between the cars is 0m/s.

This means that the frequency that will be heard by the speeder is 475hz

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.

im srry but ur wrong the answer is d a smooth rock, some red dirt, and an empty bird's nest.