Problem 3.392

A particle with specific charge $q / m$ moves in the region of space where there are uniform mutually perpendicular electric and magnetic fields with strength $\mathbf{E}$ and induc-tion B (Fig. 3.104). At the moment $t=0$ the particle was located at the point $O$ and had zero velocity. For the non-relativistic case find: (a) the law of motion $x(t)$ and $y(t)$ of the particle; the shape of the trajectory; (b) the length of the segment of the trajectory between two nearest points at which the velocity of the particle turns into zero; (c) the mean value of the particle's velocity vector projection on the $x$ axis (the drift velocity)