A string vibrates according to the equation y=5sin(pi*x)/3 cos(40pi*t), where x and y are in centimeters and ti is in secons.
(a) What are the amplitude, velocity of the component waves whose superpostion can give rise to this vibration?
(b) What is the distance between nodes?
(c) What is the transverse velocity of a particle of the string at the position x=1.5cm when t=9/8sec?