Given the equation for a wave in a string `y=0.03sin(3x-2t)` where `y` and `x` are in metre and `t` is in second, answer the following :
`1.` At `t=0` , what is the displacement at `x=0`?
`2.` At `x=0.1m`, what is the displacment at `t=0.2s` ?
`3`. What is the velocity of propagation of the wave ?
`4`. What is the equation for the velocity of oscillation of the particles of the string? What is the maximum velocity of oscillation.

Explanation

To solve the given wave equation \( y = 0.03 \sin(3x - 2t) \), we will address each part of the question step by step.

### Step 1: Displacement at \( t = 0 \) and \( x = 0 \)

1. Substitute \( t = 0 \) and \( x = 0 \) into the wave equation:
\[ y = 0.03 \sin(3(0) - 2(0)) = 0.03 \sin(0) = 0.03 \times 0 = 0 \]
...