A tone sung by an astronaut on planet Zeus produces a sound wave described by th

Question

A tone sung by an astronaut on planet Zeus produces a sound wave described by the equation P = Po + A cos(5.24x + 1,100t), with x in meters and t in seconds.

A. The wave is moving in the positive x direction at 1320 m/s

B. The wave is moving in the positive x direction at 210 m/s

C. The wave is moving in the negative x direction at 210 m/s

D. The wave is moving in the negative x direction at 1320 m/s

E. None of the above

The answer is C but I am not sure how to get the speed from the position function given.

Explanation / Answer

in the given equation plus sign indicates it is moving in the negative direction

wave speed v = w/k

here w = 1100

k = 5.24

wave spped v = 1100/5.24 = 210 m/sec

or

k = 2pi/lambda

w = 2pi f

v = lambda*f = 210 m/sec

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