A firecracker breaks up into two pieces, one has a mass of $200$ g and flies off along the $x-$axis with a speed of $82\mathrm{.}0\frac{m}{s}$ and the second has a mass of $300$ g and flies off along the $y-$axis with a speed of $45\mathrm{.}0\frac{m}{s}.$ What is the total momentum of the two pieces?

Determine the angle between the directions of vector vec$(A)=3\mathrm{.}00$hat$(i)+1\mathrm{.}00$hat$(j)$ and vector vec$(B)=1\mathrm{.}00$hat$(i)+3\mathrm{.}00$hat$(j).$

$30\mathrm{.}0$

$86\mathrm{.}6$

$45$:$2$

$53\mathrm{.}1$

$36\mathrm{.}9$