A syringe with a cross section area equal to $1\mathrm{.}25$ x $10-5$ m$2$ is filled with water and $4\mathrm{.}5$ N of force is applied to the plunger. Assuming that the external pressure on both sides of the syringe is $1$ atm, and that the needle is pointed horizontally, what is the flow velocity of the water coming out of the syringe. $($the density of water $=1000$ kg$/$m$\mathrm{³}$)