A transverse wave traveling on a string is represented by y(x) = 0.48*cos(5.6x+84t). y(x) is measured in cm above or below equilibrium, x is measured in meters, and t is measured in seconds. Please determine each of the following properties of this wave, labeling each value with correct units:
a) the amplitude of the transverse vibrations
b) the maximum and minimum speeds of the individual particles along the string (in the up-down direction).