Three forces acting on an object are given by vec$(F{)}_1=(-2\mathrm{.}35$hat$(i)+6\mathrm{.}00$hat$(j))N,$vec$(F{)}_2=(4\mathrm{.}55$hat$(i)-2\mathrm{.}35$hat$(j))N,$ and vec$(F{)}_3=(-43\mathrm{.}5$hat$(i))N.$ The object experiences an acceleration of magnitude $3\mathrm{.}70\frac{m}{s^2}.$

$($a$)$ What is the direction of the acceleration?

$q,-($counterclockwise from the $+x-$axis$)$

$($b$)$ What is the mass of the object?

$q,$ kg

$($c$)$ If the object is initially at rest, what is its speed after $20\mathrm{.}0$ s $?$

$q,\frac{m}{s}$

$($d$)$ What are the velocity components of the object after $20\mathrm{.}0$ s$?($Let the velocity be denoted by vec$(v).)$

vec$(v)=$ hat$(i)+$ j$)\frac{m}{s}$

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