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Two waves passing through a region are r...

Two waves passing through a region are represented by `y=(1.0cm) sin [(3.14 cm^(-1))x - (157s^(-1))t]`
and `y = (1.5 cm) sin [(1.57 cm^(-1))x- (314 s^(-1))t].`
Find the displacement of the particle at x = 4.5 cm at time t = 5.0 ms.

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To solve the problem, we need to find the displacement of a particle at \( x = 4.5 \, \text{cm} \) and \( t = 5.0 \, \text{ms} \) for the two given waves using the principle of superposition. ### Step-by-Step Solution: 1. **Identify the wave equations:** - The first wave is given by: \[ y_1 = (1.0 \, \text{cm}) \sin \left( (3.14 \, \text{cm}^{-1}) x - (157 \, \text{s}^{-1}) t \right) ...
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