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# Sinusoidal wave propagating along a stretched string

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A sinusoidal wave is propagating along a stretched string that lies along the x-axis. The displacement of the string as a function of time is graphed in the figure for particles at x = 0 and at x = 0.0900 m.

What is the amplitude of the wave?
What is the period of the wave?
You are told that the two points x = 0 and x = 0.0900 m are within one wavelength of each other. If the wave is moving in the +x direction, determine the wavelength.
Determine the wave speed.
If instead the wave is moving in the -x direction, determine the wavelength.
Determine the wave speed.
Would it be possible to determine definitively the wavelength in parts (c)-(f) if you were not told that the two points were within one wavelength of each other?

NOTE: SEE ATTACHED PDF FOR FULL PROBLEM.. I ONLY NEED PARTS E AND F, THE ANSWERS TO THE OTHER PARTS ARE INCLUDED IN THE PROBLEM AND THEY ARE ALL CORRECT.

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This solution provides step by step calculations for various questions involving a sinusoidal wave propagating along a stretched string.

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