(8) [10 points] Consider a positively charged particle with charge q and mass m initially at rest in a uniform electric field of $E{0}$ along the +y-axis and a uniform magnetic field $B{0}$ along the +z-axis (i.e., the electric and magnetic fields are perpendicular to each other). Once released, the particle undergoes a cycloid motion under the Lorentz force. What is the maximum displacement of the particle along the y-axis?

(A) $\frac{mE{0}}{qB{0}^{2}}$

(B) $\frac{2mE{0}}{qB{0}^{2}}$

(C) $\frac{mE{0}}{2qB{0}^{2}}$

(D) $\frac{mE{0}}{qB{0}^{3}}$

(E) $\frac{mE{0}}{\sqrt{2}qB{0}^{2}}$