Final answer:
To draw a new version of graph G that represents the vibrations of a sound source with a frequency that produces four back-and-forth motions in 0.01 second, calculate the period and use it to mark four points on the graph.
Step-by-step explanation:
To draw a new version of graph G that represents the vibrations of a sound source with a frequency that produces four back-and-forth motions in 0.01 second, we need to understand the relationship between frequency and period in harmonic motion. The frequency of an oscillation is the number of complete cycles or waves that occur in one second, and the period is the time it takes for one complete cycle or wave to occur.
In this case, the frequency is 4 waves in 0.01 seconds, so we can calculate the period by dividing 0.01 seconds by 4 waves:
Period = 0.01 seconds / 4 waves = 0.0025 seconds per wave.
Now, we can use this information to draw the graph. The x-axis represents time in seconds, and the y-axis represents the displacement or amplitude of the vibration. We will have four complete cycles or waves in 0.01 seconds, so we can mark four points on the graph that correspond to each wave. The amplitude can be represented by the height of the wave.