The vertical displacement of a string is given by the harmonic function: y(x, t) = 5 sin(12πt-10лx) m, in which x is the horizontal distance along the string in meters. Suppose a tiny particle is attached to the string at x = 5 cm, obtain (a) an expression for the vertical velocity u of this particle (b) the value of the wave velocity.

The vertical displacement of a string is given by the harmonic function: y(x, t) = 5 sin(12πt-10лx) m, in which x is the horizontal distance along the string in meters. Suppose a tiny particle is attached to the string at x = 5 cm, obtain (a) an expression for the vertical velocity u of this particle (b) the value of the wave velocity.