A particle with charge $2\mathrm{.}00$CC and mass $3\mathrm{.}301011$kgkgis initially traveling in the $+$y$+$y$-$direction with a speed v$0$v$0=1\mathrm{.}60105$m$/$sm$/$s $.$It then enters a region containing a uniform magnetic field that is directed into, and perpendicular to$,$the page in the figure $($Figure $1).$The magnitude of the field is $0\mathrm{.}420$TT $.$The region extends a distance of $25\mathrm{.}0$cmcm along the initial direction of travel; $75\mathrm{.}0$cmcm from the point of entry into the magnetic field region is a wall. The length of the field$-$free region is thus $50\mathrm{.}0$cmcm$.$When the charged particle enters the magnetic field, it follows a curved path whose radius of curvature is RR$.$It then leaves the magnetic field after a time t$1$t$1,$having been deflected a distance $$x$1$x$1.$The particle then travels in the field$-$free region and strikes the wall after undergoing a total deflection $$x$$x$.$

a$)$Determine the radius RR of the curved part of the path.

Express your answer in meters.

b$)$Determine t$1$t$1,$the time the particle spends in the magnetic field.

Express your answer in seconds.

c$)$Determine $$x$1$x$1,$the horizontal deflection at the point of exit from the field.

Express your answer in meters.

d$)$Determine $$x$$x$,$the total horizontal deflection.

Express your answer in meters.