A proton $($mass m $=1\mathrm{.}6710$ kg$)$ is being accelerated along a straight line at $2\mathrm{.}4010$ m$/$s in a machine. If the proton has an initial speed of $9\mathrm{.}2010$ m$/$s and travels $3\mathrm{.}80$ cm$,$ what then is $($a$)$ its speed and $($b$)$ the increase in its kinetic energy?