A travelling harmonic wave is represented by the equation y (x, t)...

Given wave equation, $y\left(x, t\right) = {10}^{- 3}\sin \left(50t + 2x\right)$

This equation is similar to the equation of wave travelling along the negative $x$-axis which is given by

$y\left(x, t\right) = Asin\left(\omegat + kx\right)$

After comparing, Angular frequency $\omega = 50{s}^{- 1}$

Wave number $k = 2{m}^{- 1}$

The wave velocity, $v = \dfrac{\omega}{k} = \dfrac{50}{2} = 25m{s}^{- 1}$