# Finding the equation of a wave. ?Easy?

1. Jun 30, 2011

### Patdon10

1. The problem statement, all variables and given/known data

A wave travels along a string in the positive x-direction at 34 m/s. The frequency of the wave is 49 Hz. At x = 0 and t = 0, the wave velocity is 2.3 m/s and the vertical displacement is y = 5 mm. Write the function
y(x, t)
for the wave. (Use the following as necessary: x and t. Assume x and y are in m, and that t is in s.)

2. Relevant equations

sinusoidal wave:
y = Asin(kx+wt+phi)

3. The attempt at a solution

I'm trying to understand all of this. I really don't though. I believe the y displacement has something to do with amplitude, correct? Why is there 2 different wave velocities?
If anyone could give me a nudge in the right direction, I'd really appreciate it.

2. Jun 30, 2011

### gdbb

\begin{align} v &= 34 m/s \\ f &= 49 Hz \\ y(0, 0) &= 5 mm \\ y(x, t) &= A\sin{kx + \omega t + \phi} \end{align}