A train at a constant $\backslash (62\mathrm{.}0\backslash$mathrm$\{$~km$\}/\backslash$mathrm$\{$h$\}\backslash )$ moves east for $38\mathrm{.}0$ min $,$ then in a direction $\backslash (48\mathrm{.}0^\{\backslash$circ$\}\backslash )$ east of due north for $24\mathrm{.}0$ min $,$ and then west for $48\mathrm{.}0$ min. What are the $($a$)$ magnitude and $($b$)$ angle $($relative to east$)$ of its average velocity during this trip?

$($a$)$ Number

Units

$($b$)$ Number

Units