A travelling wave pulse is given by$\mathrm{y}=\frac{4}{3{\mathrm{x}}^2+48{\mathrm{t}}^2+24\mathrm{xt}+2}$ where x and y are in metre and t is in second. The velocity of wave is

$\begin{array}{r}y=\frac{4}{\left(3x^2+48t^2+24xt+2\right)}\\ 3x^2+48t^2+24xt\\ =3\left[x^2+16t^2+8xt\right]\\ =3\left[(x+4t{)}^2\right]\\ =3\left[4^2{\left(t+\frac{x}{4}\right)}^2\right]\\ =48\left[{\left(t+\frac{x}{4}\right)}^2\right]\\ y=\frac{4}{48{\left(t+\frac{x}{4}\right)}^2+2}\end{array}$

Comparing it with general form of wave: y = f($t+\frac{x}{v}$)

v= 4 m/s