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6 Apr 2022
Consider a police car sounding a siren with a frequency 
while traveling right towards you with velocity v. Because of the Doppler effect, the frequency f that you measure is not the same as the original frequency of the siren. More precisely, the two are related by
where 
is the speed of sound (which you can take to be = 343 m/s, which is approximately correct in dry air at 
C, and v is the velocity of the car as measured in a coordinate system centred on the observer with positive direction pointing towards the approaching car (and hence a car approaching the observer will have negative velocity).
Suppose that the original frequency of the siren is = 1280 Hz. At a certain time, you measure the frequency of the siren to be f = 1320 Hz, and increasing at a rate of 4 Hz/s. What is the police car's velocity (in m/s ) and acceleration (in m/
) at the time of observation? (Enter your answers in exact form.)
The velocity is v = _____ m/s
The acceleration is a = _____ m/
Are these numbers realistic?
Consider a police car sounding a siren with a frequency while traveling right towards you with velocity v. Because of the Doppler effect, the frequency f that you measure is not the same as the original frequency of the siren. More precisely, the two are related by
while traveling right towards you with velocity v. Because of the Doppler effect, the frequency f that you measure is not the same as the original frequency of the siren. More precisely, the two are related by where is the speed of sound (which you can take to be = 343 m/s, which is approximately correct in dry air at C, and v is the velocity of the car as measured in a coordinate system centred on the observer with positive direction pointing towards the approaching car (and hence a car approaching the observer will have negative velocity).
is the speed of sound (which you can take to be = 343 m/s, which is approximately correct in dry air at C, and v is the velocity of the car as measured in a coordinate system centred on the observer with positive direction pointing towards the approaching car (and hence a car approaching the observer will have negative velocity).Suppose that the original frequency of the siren is = 1280 Hz. At a certain time, you measure the frequency of the siren to be f = 1320 Hz, and increasing at a rate of 4 Hz/s. What is the police car's velocity (in m/s ) and acceleration (in m/) at the time of observation? (Enter your answers in exact form.)
= 1280 Hz. At a certain time, you measure the frequency of the siren to be f = 1320 Hz, and increasing at a rate of 4 Hz/s. What is the police car's velocity (in m/s ) and acceleration (in m/) at the time of observation? (Enter your answers in exact form.)The velocity is v = _____ m/s
The acceleration is a = _____ m/
Are these numbers realistic?
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