A $3\mathrm{.}0-kg$ object moving along the $x$ axis has a velocity of $2\mathrm{.}4\frac{m}{s}$ as it passes through the origin. It is acted on by a single force, $F_x,$ that varies with $x,$ as shown in Figure $6-31.($a$)$ Find the work done by the force from $x=0\mathrm{.}0m$ to $x=2\mathrm{.}0m.($b$)$ What is the kinetic energy of the object at $x=2\mathrm{.}0m?($c$)$ What is the speed of the object at $x=2\mathrm{.}0m?($d$)$ What is the work done on the object from $x=0\mathrm{.}0$ to $x=4\mathrm{.}0m?($e$)$ What is the speed of the object at $x=4\mathrm{.}0m?$