Oscillation of a String: Amplitude, Speed & Node Distance

[matt62010]

A string oscillates according to the equation below.
y' = (0.50 cm) sin[(π/3 cm-1)x] cos[(45π s-1)t]

(a) What are the amplitude and speed of the two waves (identical except for direction of travel) whose superposition gives this oscillation?
cm (amplitude)
cm/s (speed)
(b) What is the distance between nodes?
cm
(c) What is the speed of a particle of the string at the position x = 1.5 cm when t = 9/8 s?
cm/s

i have no clue how to do this problem. any help is greatly appreciated. thanks?

 

[Redbelly98]

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(from https://www.physicsforums.com/showthread.php?t=5374 )