Three astronauts, propelled by jet backpacks, push and guide a $120$ kg asteroid toward a processing dock, exerting the forces shown in the figure, with $F_1=32\mathrm{.}0N,F_2=59\mathrm{.}0N,F_3=45\mathrm{.}0N,{}_1=30\mathrm{.}0,$ and ${}_3=60\mathrm{.}0.$ What is the $($a$)$ magnitude and $($b$)$ angle $($measured relative to the positive direction of the $x-$axis in the range of $(-180,180))$ of the asteroid's acceleration?

$($a$)$ Number

i

Units

$($b$)$ Number

Units