What is the expression for the transverse velocity of the wave in a string given by $y = A \sin ( k x - ? t )$ ?
A) $v = A \cos ( k x - ? t )$
B) $v = k A \cos ( k x - ?t )$
C) $\nu = - k A \cos ( k x - ? t )$
D) $\nu = - ? A \cos ( k x - ? t )$
E) $v = ? A \cos ( k x - ? t )$

Question

Quizplus · Accepted Answer

The transverse velocity of the wave is the partial derivative of the displacement $y$ with respect to time $t$. Differentiating $y = A \sin ( k x - ? t )$ with respect to $t$ gives $\nu = - ? A \cos ( k x - ? t )$.

What Is the Expression for the Transverse Velocity of the Wave