Acharged particle of mass m and positive charge q moves in uniform electric and magnetic fields, e~ and b~ , both pointing in the z direction. the net force on the particle is f~ = q(e~ + ~v × b~ ). at t = 0 sec, the particle’s position is (x0, y0, z0) with initial velocity ( ˙x0, y˙0, z˙0). (a) solve the equations and express the position and velocity of the particle as a function of time.