A single force acts on a $4\mathrm{.}5$ kg particle$-$like object in such a way that the position of the object as a function of time is given by $x=4\mathrm{.}9t-2\mathrm{.}8t^2+2\mathrm{.}4t^3,$ with $x$ in meters and $t$ in seconds. Find the work done on the object by the force from $t=0$ to $t=8\mathrm{.}5s.$