A student drove to the university from her home and noted that the odometer on her car increased by $13\mathrm{.}0km.$ The trip took $19\mathrm{.}0$min.

$($a$)$ What was her average speed in $k\frac{m}{h}?$

$k\frac{m}{h}$

$($b$)$ If the straight$-$line distance from her home to the university is $10\mathrm{.}3km$ in a direction $25\mathrm{.}0$ south of east, what was her average velocity in $k\frac{m}{h}?$

$k\frac{m}{h}$

$($c$)$ If she returned home by the same path $7h30$min after she left, what were her average speed and velocity in $k\frac{m}{h}$ for the entire trip? average speed $k\frac{m}{h}$ average velocity $k\frac{m}{h}$