The equation for a wave travelling in x-direction on a string is y =`(3.0cm)sin[(3.14 cm^(-1) x - (314s^(-1))t]` (a) Find the maximum velocity of a particle of the string. (b) Find the acceleration of a particle at x =6.0 cm at time t = 0.11 s.

Explanation

To solve the given problem, we will break it down into two parts as specified in the question.

### Given:
The wave equation is:
\[ y = (3.0 \, \text{cm}) \sin \left(3.14 \, \text{cm}^{-1} \, x - (314 \, \text{s}^{-1}) \, t \right) \]

### Part (a): Find the maximum velocity of a particle of the string.

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