A transverse wave on a string is described by the equation y (x, t) = (2.20 cm)

Question:

A transverse wave on a string is described by the equation y (x, t) = (2.20 cm) sin [(130 rad/s) t + (15 rad/m) x].
(a) What is the maximum transverse speed of a point on the string?
(b) What is the maximum transverse acceleration of a point on the string?
(c) How fast does the wave move along the string?
(d) Why is your answer to (c) different from the answer to (a)?