Chapter 15, Problem 15.46E

(a)

To determine

The maximum transverse velocity and the maximum acceleration at the points $x=\frac{\lambda }{2}$, $x=\frac{\lambda }{4}$ and $x=\frac{\lambda }{8}$.

(b)

To determine

The amplitude at points $x=\frac{\lambda }{2}$, $x=\frac{\lambda }{4}$ and $x=\frac{\lambda }{8}$.

(c)

To determine

The time taken by the string from largest upward displacement to largest downward displacement.