Question

when would the velocity of a wave traveling in a medium change?

Answer 1

v = f*lamba.

So wavelength and frequency changes the speed of the wave.

also, if the wave is through a medium, like a rope

V = sqrt(tension * linear mass density).

In that case, speed is also dependent on the tension applied to the medium and the linear mass density (kg/m) of the rope.

Answer 2

velocity includes not only speed but direction, any time the direction changes velocity would also change.....right???