A transverse harmonic wave on a string is described by `y(x,t)=3.0sin(36t+0.018x+pi//4)` where x, y are in cm, t in second. The positive direction of x is from left to right . (i) Is this a travelling or stationary wave ? If travellying, what are the speed and direction of its propagation ? (ii) what are its amplitude and frequency ? (iii) what is the inital phase at the origing ? (iv) What is the least distance between two successive creests in the wave?

Explanation

To solve the problem step by step, we will analyze the given wave equation and extract the required information.

### Given Wave Equation:
\[ y(x,t) = 3.0 \sin(36t + 0.018x + \frac{\pi}{4}) \]

### Step 1: Determine if the wave is traveling or stationary.
- A stationary wave has independent terms for \(x\) and \(t\), while a traveling wave has dependent terms.
- In the given equation, the terms involving \(x\) and \(t\) are combined, indicating that it is a traveling wave.
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