Instantaneous velocity is the velocity of an object in motion at a specific point in time. This is determined similarly to average velocity, but we narrow the period of time so that it approaches zero.
The formula for instantaneous velocity is the limit as t approaches zero of the change in position over the change in t.
Mathematically,
Where x is the given function with respect to time t. The Instantaneous Velocity is expressed in m/s.
In the equation
y(x, t) = a sin (kx + t + )
the term with distance travelled 'x' is called angular wave number or propagation constant
Hence k is the angular wave number.