A $5\mathrm{.}0-$kg mass with an initial velocity of $4\mathrm{.}0$ m$/$s$,$ east collides with a $4\mathrm{.}0-$kg mass with an initial velocity of $3\mathrm{.}0$ m$/$s$,$ west. After the collision the $5\mathrm{.}0-$kg mass has a velocity of $1\mathrm{.}2$ m$/$s$,$ south. What is the magnitude of the velocity of the $4\mathrm{.}0-$kg mass after the collision?

a$.$

$2\mathrm{.}0$ m$/$s

b$.$

$1\mathrm{.}5$ m$/$s

c$.$

$1\mathrm{.}0$ m$/$s

d$.$

$2\mathrm{.}5$ m$/$s

e$.$

$3\mathrm{.}0$ m$/$s

a$.$

$1\mathrm{.}7$ m$/$s

b$.$

$1\mathrm{.}1$ m$/$s

c$.$

$1\mathrm{.}5$ m$/$s

d$.$

$1\mathrm{.}3$ m$/$s

e$.$

$2\mathrm{.}1$ m$/$s

a$.$

$32$ J

b$.$

$52$ J

c$.$

$41$ J

d$.$

$25$ J

e$.$

$29$ J

a$.$

$9\mathrm{.}6$ Ns

b$.$

$2\mathrm{.}4$ Ns

c$.$

$6\mathrm{.}4$ Ns

d$.$

$1\mathrm{.}6$ Ns

e$.$

$1\mathrm{.}0$ Ns

a$.$

$9\mathrm{.}6$ Ns

b$.$

$2\mathrm{.}4$ Ns

c$.$

$6\mathrm{.}4$ Ns

d$.$

$1\mathrm{.}6$ Ns

e$.$

$1\mathrm{.}0$ Ns