The acceleration of the given wave is 2.5m/s^2
<h3>Wave property</h3>
The standard wave function is expressed according to the equation
y = Asin(2πft+2πx/λ)
where
λ is the wave length
Given the equation below
y = 0.120 sin((π/8)x + 4πt)
Compare both equation to have:
(π/8)x = 2πx/λ
8 = 2/λ
λ = 2/8
λ = 1/4
λ = 0.25m
For the frequency
Compare both equation to have:
4πt = 2πft
4 = 2f
4/2 = 2f/2
f = 2 Hz
Speed = fλ
speed = 2(0.25)
speed = 0.5m/s
Determine the acceleration
acceleration = change in velocity/time
acceleration = 0.5/ 0.200
acceleration = 2.5m/s^2
Hence the acceleration of the given wave is2.5m/s^2
Learn more on wave function here: brainly.com/question/25699025
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