Write the equation for a sinusoidal wave of wavelength 4, amplitude 20, and velocity 6

Chapter 7, Problem 21

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Write the equation for a sinusoidal wave of wavelength 4, amplitude 20, and velocity 6. (See 17.) Make computer plots of y as a function of t for x = 0, 1, 2, 3, and of y as a function of x for t = 0, 1 6 , 1 3 , 1 2 . If this wave represents the shape of a long rope which is being shaken back and forth at one end, find the velocity y/t of particles of the rope as a function of x and t. (Note that this velocity has nothing to do with the wave velocity v, which is the rate at which crests of the wave move forward.)

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