Answer:
The wave is traveling in the +x direction.
Explanation:
The equation of a wave is given by the formula as :

Here,
A is the amplitude of wave
is the phase of wave
is the angular frequency of the wave
We need to find the correct statement out of given options. The given equation can be rewritten as :

Here, the propagation constant is negative. So, the wave is moving in +x direction. Hence, the correct option is (a).
The y-component of the acceleration is 
Explanation:
The y-component of the acceleration is given by

where
is the y-component of the final velocity
is the y-component of the initial velocity
t is the time elapsed
For the ice skater in this problem, we have:
u = 2.25 m/s is the initial velocity, in a direction 
v = 4.65 m/s is the final velocity, in a direction 
t = 8.33 s is the time elapsed
The y-components of the initial and final velocity are:

So the y-component of the acceleration is

Learn more about acceleration:
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I'll be happy to solve the problem using the information that
you gave in the question, but I have to tell you that this wave
is not infrared light.
If it was a wave of infrared, then its speed would be close
to 300,000,000 m/s, not 6 m/s, and its wavelength would be
less than 0.001 meter, not 12 meters.
For the wave you described . . .
Frequency = (speed) / (wavelength)
= (6 m/s) / (12 m)
= 0.5 / sec
= 0.5 Hz .
(If it were an infrared wave, then its frequency would be
greater than 300,000,000,000 Hz.)