Question

Consult Multiple-Concept Example 11 in order to review a model for solving this type of problem. A car is accelerating while its horn is blowing. Just after the car passes a stationary person, the person hears a frequency of 968 Hz. 15.4 seconds later, the frequency heard by the person has decreased to 922 Hz. When the car is stationary, its horn emits a sound whose frequency is 1060 Hz. The speed of sound is 343 m/s. What is the acceleration of the car

Answer 1

Answer:

The acceleration of the car is 1.13m/s².

The solution to this problem requires the knowledge of the phenomenon known as Doppler effect. This is basically the variation between the frequency emitted by a sound source and the the frequency heard by a listener due to relative movement between them (sound source and listener).

Explanation:

The required variable is the car's acceleration which is assumed constant. This allows us to use the constant acceleration equations of motion. The relation V = U + at was used to relate the velocity of the sound source to its acceleration and relation frequency of the sound source and frequency heard by listener was used as well. The full solution can be found in the attachment below.

Thank you for reading.