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A travelling harmonic wave on a string i...

A travelling harmonic wave on a string is described by `y(x,t)=7.5sin(0.0050x +12t+pi//4)` (a) what are the displacement and velocity of oscillation of a point at `x=1cm, ` and `t=1s` ? Is this velocity equal to the velocity of wave propagation ?
(b) Locate the point of the string which have the same transverse displacement and velocity as `x=1cm` point at `t=2s, 5s and ` 11s.

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