$(5)$ The force shown in the force$-$time diagram in in the figure below acts on a $1\mathrm{.}5$kg object.

Find:

$($a$)$ The impulse of the force,

$($b$)$ The final velocity of the object if it is initially at rest, and

$($c$)$ The final velocity of the object if it is initially moving along the $x$ axis with a velocity of $-2\mathrm{.}0\frac{m}{s}.$