Oscillation of a String: Amplitude, Speed & Node Distance

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The discussion revolves around solving a physics problem related to the oscillation of a string described by a specific wave equation. Key points include determining the amplitude and speed of the waves, calculating the distance between nodes, and finding the speed of a particle at a given position and time. Participants emphasize the importance of showing attempts at solving the problem and using the homework template for assistance. The thread highlights that help will not be provided without these prerequisites. Overall, the focus is on applying wave mechanics principles to address the problem effectively.
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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?
 
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(from https://www.physicsforums.com/showthread.php?t=5374 )
 

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