Wave velocity & particle velocity from wave equation

The angle between wave velocity and particle velocity in a travelling wave be

The equation of a progressive wave is given by y = 5 cos (100 t - 5x) where y is in microns, x in metre and t is in second. What is the ratio of the maximum particle velocity to the velocity of wave propagation?

Relation between Velocity OF particle|| Velocity OF wave || Slope OF string || Relation between according to particle & curvature || Velocity OF wave on a string || Examples on string velocity

Velocity OF a Wave

The equation of a travelling wave is y60 cos(1800t-6x) where y is in microns, t in seconds and x in metres. The ratio of maximum particle velocity to velocity of wave propagation is

The relation between wave velocity and maximum particle velocity is (Where V_(p) = Particle velocity, V = Wave velocity)

A sinusoidal wave is given by y=A sin (kx- omegat ). The ratio of its maximum particle velocity to wave velocity is