(a) A horizontal string tied at both ends is vibrating in its fundamental mode. The traveling waves have speed v, frequency f, amplitude A, and wavelength A. Calculate the maximum transverse velocity and maximum transverse acceleration of points located at (i) x = A/2, (ii) x = A/4, and (iii) x = A/8 from the left hand end of the string.
(b) At each of the points in part (a), what is the amplitude of the motion?
(c) At each of the points in part (a), how much time does it take the string to go from its largest upward displacement to its largest downward displacement?