The equation of wave is given by Y = 10 ^ - 2 2π(160t - 0 . 5x +...

The equation of the wave is

$Y = {10}^{- 2}\sin 2\pi ( 160t - 0 . 5x + \dfrac{\pi}{4} )$

The velocity of a wave is given by $v = \dfrac{\omega}{k} . . . ( i )$.

A wave equation is given by

$Y = Asin\left(\omegat - kx + ϕ\right)$

Using equation (i),

$v = \left(\dfrac{2\pi \times 160}{2\pi \times 0 .5}\right) = 320m{s}^{- 1}$

$⇒ v = 320 \times \dfrac{18}{5}$

$⇒ v = 1152km{h}^{- 1}$