I'll try to translate the problem as faithfully as I can:
A wave pulse moves along the positive OX axis. Its form when t=0 is
f(x) = y0/[1 + (x/a)^2]
Find the expression for the transverse velocity as a function of x and t.
At the point x=0, what will be its max transverse velocity, if v = 210m/s (I assume this is phase velocity), y0 = 1.3cm, and a = 5cm?
The Attempt at a Solution
For the first part, should I substitute x for (x -vt) and take the partial with respect to t of the whole function? That should give me the expression for "vertical" velocity. Then I'd simply substitute x=0, v, y0 and a to get the velocity?
I thought "transverse" meant along the x-axis. The question looks really ambiguous and misleading but I think that's whats being asked, any thoughts?