1. [25 pts] Consider a singly charged Xenon ion moving in the orthogonal electric and magnetic fields E=(0,100 V/cm, 0) and B=(0, 0, 300 G), respectively, as shown in the figure below. The ion starts motion in the xy-plane from the coordinate origin (x,y,z)=(0,0,0) with an initial velocity Vo=(20 km/s, 0, 0). Find the analytical expressions for evolution of the ion coordinates with time: x(t) and y(t). Plot the trajectory of the ion's motion. 0 B X