Linear Kinematics: $(4$ pts$)$ After attending Dr$.$ Armstrongs bike lecture, Ben walks south on the B$-$Line Trail at a velocity of $1\mathrm{.}3\frac{m}{s}$ to visit Andrew, who did not attend the bike lecture. $($a$)$ If Ben experiences a crosswind with a velocity of $0\mathrm{.}5\frac{m}{s}$ west, what is the magnitude and direction of his resultant velocity?

$($b$)$ How far will Ben actually have to walk if Andrew's house is $2414$ m south of Ben's starting point?

$($a$)$ Resultant velocity:

$($b$)$ Actual distance: