# A wave problem

1. Jul 29, 2010

### Faux Carnival

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

y(x,t) = 3e-(2x-4t)^2

Consider the wave function which represents a transverse pulse that travels on a string along the horizontal x-axis.

a) Find the wave speed
b) Find the velocity of the string at x=0 as a function of time

2. Relevant equations

3. The attempt at a solution

I think, for b) I should take the derivative of the original wave function with respect to t.
Easy if that's the case.

I have no idea about part a.

2. Jul 29, 2010

### merryjman

3. Jul 29, 2010

### Faux Carnival

Wow, thanks merry. I completely forgot about the linear wave equation.

And is my solution for part b correct? (Taking the derivative of the function with respect to time to find the string velocity function)

4. Jul 29, 2010

### merryjman

I would say so. At x = 0 that wave function gives Y position as a function of time, so its time derivative would be the rate of change of the Y position.