A machine tugs sideways on an elastic rope with a frequency of 4.5 Hz. A graph of the transverse displacements of this rope wave at t=1.0s as a function of position is shown below.

a. What is the velocity of waves on this rope?

b. If the frequency of the machine tugging on the rope is doubled to f=9.0 Hz yet the tension in the rope remains the same, what is the new wavelength of waves on this rope? What is the new velocity of waves on this rope?

+0.2 +0.1 0. -0.1 -0.2 y(x) [m] 0.5 x [m]