In a Stern-Gerlach experiment hydrogen atoms in their ground state move with speed v_x = 14.5 km/s. The magnetic field is in the z direction and its maximum gradient is given by dB_z/d_z = 600 T/m.

(a) Find the maximum acceleration of the hydrogen atoms.

(b) If the region of the magnetic field extends over a distance Δx = 75 cm and there is an additional 1.25 m from the edge of the field to the detector, find the maximum distance between the two lines on the detector.