**(a)**

Velocity:

$\overline{)\begin{array}{rcl}{\mathbf{v}}& {\mathbf{=}}& \frac{\mathbf{dy}}{\mathbf{dt}}\end{array}}$

A transverse harmonic wave travels on a rope according to the following expression:

y(x,t) = 0.12sin(2.1x + 17.6t)

a) At x = 3.8 m and t = 0.44 s, what is the velocity of the rope? (watch your sign)

b) At x = 3.8 m and t = 0.44 s, what is the acceleration of the rope? (watch your sign)

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What scientific concept do you need to know in order to solve this problem?

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