Wave motion is characterized by two velocities: the velocity with which the wave moves in the medium (e. g., air or a string) and the velocity of the medium (the air or the string itself). consider a transverse wave traveling in a string. the mathematical form of the wave is y(x, t)=asin(kx−ωt). a. find the speed of propagation vp of this wave. b. find the y velocity vy(x, t) of a point on the string as a function of x and t.