For a certain transverse standing wave on a long string, an antinode is at x $=0$ and an adjacent node is at x $=0\mathrm{.}40$ m$.$ The displacement

y$($t$)$ of the string particle at x $=0$ is shown in the figure, where the scale of the y axis is set by ys $=4\mathrm{.}3$ cm$.$ When t $=0\mathrm{.}70$ s$,$ what is the

displacement of the string particle at $($a$)$ x $=0\mathrm{.}60$ m and $($b$)$ x $=0\mathrm{.}70$ m$?$ What is the transverse velocity of the string particle at x $=0\mathrm{.}60$

m at $($c$)$ t $=0\mathrm{.}70$ s and $($d$)$ t $=1\mathrm{.}0$ s$?$