Initial displacement of a midpoint of a string?

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SUMMARY

The discussion focuses on calculating the initial displacement, velocity, and acceleration of the midpoint of a string using the equation x(t) = A sin(wt + φ). The user successfully determines the initial displacement as 1.60 x 10^-3 m by substituting t = 0 into the equation. Additionally, they differentiate the equation to find the velocity and acceleration at t = 0, confirming the approach as correct. This method effectively applies fundamental principles of wave motion.

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Homework Statement


upload_2018-11-15_10-59-9.png

Then we are asked to determine the initial discplament, velocity and acceleration of the midpoint of the string.

Homework Equations


I guess we should use equation x(t)=Asin(wt+phi)

The Attempt at a Solution


My attempted solution is to use the above equationa and put t=0. That would give us an initial displacement of 1.60x10^-3 m, and for the velocity and acceleration differentiate the initial equation and again put t=0.
Is that a good solution? Thank you
 

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That is perfect.
 

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