5. A transverse wave on a rope is described by the wavefunction y(x,t) = Asianx + out), whereA = 0.030 m, k = 12 m'l, and w = 500 51. For all questions below, show all your work so I can follow your reasoning. a. What is the speed of the wave? (1 point) b. Is the wave travelling to the left or to the right? (1 points) lfthe rope has a tension of 500 N, what is the linear density (in kg/m) of the string? (3 points) . What is the transverse velocity ofthe particle located at x = 0.10 m at time t = 0.001 5? (Don't forget to put your calculator in radian mode) (3 points) 6. Standing waves on a horizontal string appear to be \"in place\