A string of linear mass density 5.0×10−3 kg/m is stretched under a tension of 65 N between two rigid supports 60 cm apart.
(a) If the string is vibrating in its second overtone so that the amplitude at one of its antinodes is 0.25 cm, what are the maximum transverse speed and acceleration of the string at antinodes?
(b) What are these quantities at a distance 5.0 cm from a node?