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Question: A child on a swing makes 5 complete back and forth vibrations in 14.5 seconds. What is the frequency of the child?

The frequency of a wave - or in this case, the swing - is defined as the number of complete vibrations/cycles per second. It is calculated by dividing the number of cycles by the total time it takes to complete those cycles. In this scenario, there are 5 cycles, and they are completed in a total time of 14.5 seconds. Thus, the frequency of the swing would be calculated as follows: Frequency = Number of cycles / Total time Frequency = 5 cycles / 14.5 seconds = 0.345 cycles per second or Hertz (Hz) So the frequency of the child swinging is approximately 0.345 Hz.

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