A stationary wave is formed by superposition of two waves given by
64.88 `y_(1) = 0.02 sin (3pi t - x) and y_(2) = 0.02 sin (3pi t + x)`
where x, y are in metres and t is in seconds. Determine the displacement of a particle situated at a distance of x = 0.5 m.

Explanation

To determine the displacement of a particle situated at a distance of \( x = 0.5 \, \text{m} \) from the origin in the given stationary wave formed by the superposition of two waves, we can follow these steps:

### Step 1: Write down the equations of the two waves
The two waves are given as:
\[ y_1 = 0.02 \sin(3\pi t - x) \]
\[
...