A car emits a sound at a frequency of 2500 Hz when the car is at rest. The car then accelerates uniformly for 6.5 second, at which time an observer hears the sound of the car to be 3236 Hz. What would be the acceleration of the car? Assume the air temperature to be 20oC.
At 20 degree C temperature, the speed of sound in air is V = 340 m/s (approximately)
Note that the answer may vary due to this. The speed of sound in air at that temperature can lie in the range from 336 m/s to 343 m/s. Here, I have taken it to be 340 m/s.
frequency of sound emitted by the car is n = 2500 Hz
Lets assume that, at time t = 6.5 second after the car starts accelerating, the speed of the car would be vc and the obsrver will hear the sound fraquency at n' = 3236 Hz
Let acceleration of the car is a .
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