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## Homework Statement

The displacement of the wave traveling in + x direction is: Y(x, t) = 0.35 (m) Sin (6x- 30t); where x is in meter and t is in second.

If the wave reaches its maximum displacement after 0.04 sec,

what is the value of x corresponding to y (max).

## Homework Equations

Y(x,t)=Asin(kx-wt)

## The Attempt at a Solution

Well I know that with a "standard" sin curve, it reaches a maximum when x=pi/2. However, doesn't this particular displacement equation Y(x, t) = 0.35 (m) Sin (6x- 30t) have a horizontal compression (ie. indicated by what's in the brackets, 6x-30t) so that it's maximum (ie. max displacement) wouldn't occur at 90 degrees on the x axis?

The answer key says that sin is at a maximum when x=pi/2

So pi/2 = 6x-30(0.04)