A harmonic wave with a period of 3 s, an amplitude of 4 m, and a speed of 15 m/s is described by the equation y(x, t) = ym cos(kx + wt). A) What is the value of k? B) Sketch a plot of y(x, 0) vs. x (the spatial wave at time 0) from x = 0 to x = λ (one wavelength). Your sketch should have its axes labled with the values of the maximum, minimum, and all x-intercepts readable from the plot. C) Indicate on your plot the direction the wave is traveling.
A harmonic wave with a period of 3 s, an amplitude of 4 m, and a speed of 15 m/s is described by the equation y(x, t) = ym cos(kx + wt). A) What is the value of k? B) Sketch a plot of y(x, 0) vs. x (the spatial wave at time 0) from x = 0 to x = λ (one wavelength). Your sketch should have its axes labled with the values of the maximum, minimum, and all x-intercepts readable from the plot. C) Indicate on your plot the direction the wave is traveling.
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Please solve parts a, b and c. Thank you!
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