A sinusoidal wave is sent along a string with a linear density of $1\mathrm{.}70\frac{g}{m}.$ As it travels, the kinetic energies of the mass elements along the string vary. Figure $(a)$ gives the rate $d\frac{K}{d}t$ at which kinetic energy passes through the string elements at a particular instant, plotted as a function of distance $x$ along the string. Figure $(b)$ is similar except that it gives the rate at which kinetic energy passes through a particular mass element $($at a particular location$),$ plotted as a function of time $t.$ For both figures, the scale on the vertical $($rate$)$ axis is set by $R_s=14W.$ What is the amplitude of the wave?

$($a$)$