The standing waves are set up by the superimposition of two waves:
`y_(1)=0.05 sin (15pit-x)`and
`y_(2)=0.05 sin (15pit+x)`, where x and y are in metre and t in seconds. Find the displacement of particle at `x=0.5m.`

Explanation

To find the displacement of the particle at \( x = 0.5 \, \text{m} \) for the given standing wave formed by the superimposition of two waves, we can follow these steps:

### Step 1: Write the equations of the two waves
The two waves are given as:
\[ y_1 = 0.05 \sin(15 \pi t - x) \]
\[
...