A proton is fired from origin with velocity in a uniform magnetic field
. IN the subsequent motion of the proton:
its z co-ordinate can never be negative
its x co-ordinate can never be positive
its x and z co-ordinates cannot be zero at the same time
its y co-ordinate will be proportional to its time of flight

Fy =0 hence v y= constant
Trajectory of proton will be as shown in diagram.