Solving Wave Equations with a Wall - Reflection and Amplitude

[inferno_gogo]

Homework Statement

We have waves propagating in the air. First part asks for a traveling wave solution in the x direction , given a wave length 2pi and amplitude 3m. I have obtained u(x,t) = 3 cos ( x - 345t). The question then asks what happens if a wall is placed at x=0, what is the form of u(x,t) including the reflect wave and incident wave. Also to find the amplitude and phase of the reflect wave given u(0,t) = 0.

Homework Equations

z(x,t)=Asin(ks-vt)

The Attempt at a Solution

I have hit a wall. No idea how to proceed with the form of the equation. Once I get that, I am pretty sure I will manage to find the phase shift and amplitude.

 

[tiny-tim]

I have hit a wall.

Then you should reflect! ​

Hint: draw a diagram!

Draw the wave going through the wall as if it wasn't there.

Then turn one half of the wave round …

does it have the same frequency? the same amplitude? the same velocity? the same phase?