A wireless transmitting microphone is mounted on a small platformthat can roll d

Question

A wireless transmitting microphone is mounted on a small platformthat can roll down an incline, directly away from a loudspeakerthat is mounted at the top of the incline. The loudspeakerbroadcasts a tone that has a fixed frequency of 1.000 x104 Hz, and the speed of sound is 343 m/s. At a time of1.5 s following the release of the platform, the microphone detectsa frequency of 9939 Hz. At a time of 3.5 s following the release ofthe platform, the microphone detects a frequency of 9857 Hz. Whatis the acceleration (assumed constant) of the platform?

Explanation / Answer

    the velocity is given by     vmike = v [1 - (fo /fs)]     at t = 1.5 s     vmike = (343 m / s) [1 -(9939 Hz) /(1.000 x 104 Hz)]             = ......... m / s             = vo     in the similar manner solve for 3.5 s in whichthe result is v     the acceleration will be     a = (v - vo) / (t -to)        = .......... m /s2

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