The equation of a travelling wave is given by
`y=+(b)/(a)sqrt(a^(2)-(x-ct)^(2)) where -altxlta`
=0,otherwise
Find the amplitude and the wave velocity for the wave. what is the initial particle velocity at the position `x=a//2`?

Explanation

To solve the given problem step by step, we will follow the instructions provided in the video transcript.

### Step 1: Identify the wave equation
The equation of the traveling wave is given as:
\[ y = \frac{b}{a} \sqrt{a^2 - (x - ct)^2} \]
where \(-a < x < a\) and \(y = 0\) otherwise.
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