Solving for Wave Speed: A Guitar String's Story

[The_Hunter]

Homework Statement

A guitar string is vibrating in its fundamental mode, with nodes at each end. The length of the segment of the string that is free to vibrate is "L" . The maximum transverse acceleration of a point at the middle of the segment is "a" and the maximum transverse velocity is "v" . What is the wave speed for the transverse traveling waves on this string?

Homework Equations

amplitude of this standing wave is : (v^2)/(a)

The Attempt at a Solution

No clue where to even begin?

 

[rl.bhat]

What is required in the problem? Post the full text of the problem.

 

[The_Hunter]

What is the wave speed for the transverse traveling waves on this string?

My friends and I are pretty stumped... Anything would be much appreciated.

 

[ideasrule]

Can you write out an equation for the displacement of a certain point on the string? (Hint: it's a sine/cosine function)