A wireless transmitting microphone is mounted on a small platform, which can rol

Question

A wireless transmitting microphone is mounted on a small platform, which can roll down an incline, away from a speaker that is mounted at the top of the incline. The speaker broadcasts a fixed-frequency tone that has a frequency of 1.000 x 10^4 Hz. (The speed of sound is 343 m/s). At a time of 1.5 s following the release of the platform, the microphone detects a frequency of 9939 Hz.  At a time of 3.5 s following the release of the platform, the microphone detects a frequency of 9857 Hz.  What is the acceleration (assumed constant) of the platform?

Explanation / Answer

         Solving for thespeed of the mike gives

          vmike = v(1-fo/fs)

         Using thisresult, we can determine the speed of the microphone platform atthe two given times:

        [t = 3.5 s]             vmike = (343m/s)( 1- 9857Hz/1.00*104Hz)

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