Answer :


Displacement equation of an elastic wave y = 3sinωt + 4cosωt

Let 3 = Acosθ and 4 = Asinθ, then the equation for displacement becomes:

by using the property

we have ,

Which is the equation for a simple harmonic wave with amplitude A and phase difference θ. For θ we have

For amplitude A, squaring and adding 3 = Acosθ and 4 = Asinθ, we have


Therefore, the equation for the wave becomes

with its amplitude being 5 m.

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