For a certain transverse standing wave on a long string, an antinode is at $x=0$ and an adjacent node is at $x=0\mathrm{.}50m.$ 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 $y_s=4\mathrm{.}2cm.$ When $t=0\mathrm{.}50s,$ what is the displacement of the string particle at $($a$)x=0\mathrm{.}60m$ and $(b)x=0\mathrm{.}40m?$ What is the transverse velocity of the string particle at $x=0\mathrm{.}60$ m at $($c$)t=0\mathrm{.}50s$ and $(d)t=1\mathrm{.}0s?$

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