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A transverse harmonic wave travels on a rope according to the following expression: y(x,t) = 0.16sin(2.9x...

A transverse harmonic wave travels on a rope according to the following expression:

y(x,t) = 0.16sin(2.9x + 17.8t)

The mass density of the rope is μ = 0.141 kg/m. x and y are measured in meters and t in seconds.

6) At x = 3.9 m and t = 0.4 s, what is the velocity of the rope? (watch your sign)

7) At x = 3.9 m and t = 0.4 s, what is the acceleration of the rope? (watch your sign)

8) What is the average speed of the rope during one complete oscillation of the rope?

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