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A speaker and microphone are attached to a cart moving toward a wall at speed LaTeX:...

A speaker and microphone are attached to a cart moving toward a wall at speed LaTeX: v v m/s. The speaker sends out a constant tone, 236 Hz. The sound reflects off the wall and the reflected wave is detected by the microphone to have frequency 277 Hz. Taking the speed of sound in air to be 343.9 m/s, with what speed does the cart approach the wall? Give your answer to the nearest 0.1 m/s.

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