At time t$=0$t $=0$t$=0,$ an electron with kinetic energy $16$keV$16\backslash ,\backslash$mathrm$\{$keV$\}16$keV moves through x$=0$x $=0$x$=0$ in the positive direction of an xxx$-$axis that is parallel to the horizontal component of Earth's magnetic field. The field's vertical component is downward and has a magnitude $46\mathrm{.}2$T$46\mathrm{.}2\backslash ,\backslash$mu $\backslash$mathrm$\{$T$\}46\mathrm{.}2$T$.$

$($a$)$ What is the magnitude of the electron's acceleration in meters per second squared, due to the magnetic field?

$($b$)$ What is the electron's distance from the xxx$-$axis in centimeters when the electron reaches coordinate x$=17$cmx $=17\backslash ,\backslash$mathrm$\{$cm$\}$x$=17$cm$?$