(4-2) ① Distance travelled is just velocity x time: so the distance is just D = vt.
② The general equation we derived in Question 4-1 was: y = Asin(2π(x-D)/λ)
If you follow the movement of a particular peak or trough as a function of time, in the diagram, you can see that the movement of the wave just shifts it in the same way as curve (d) was shifted in that question – but now the size of the shift increases with time. So all we need to do is to substitute in our expression for the time-dependent displacement: the equation becomes:
y = Asin(2π(x-vt)/λ)