VP$15\mathrm{.}8\mathrm{.}1$ For a standing wave on a string, the distance between nodes is $0\mathrm{.}125$ m$,$ the frequency is $256$ Hz$,$ and the amplitude is

$1\mathrm{.}40$

$$

$10$

$-$

$3$

$$

m

$.$ What are $($a$)$ the speed of waves on this string, $($b$)$ the maximum transverse velocity at an antinode, and $($c$)$ the maximum transverse acceleration at an antinode?