An electron having an initial horizontal velocity of magnitude 1.00 x 109 cm/s travels into the region between two horizontal metal plates that are electrically charged. In that region, the electron travels a horizontal distance of 2.00 cm and has a constant downward acceleration of magnitude 1.00 x 1017 cm/s2 due to the charged plates. Find

(a) The time the electron takes to travel the 2.00cm,

(b) The vertical distance it travels during that time, and the magnitudes of its

(c) Horizontal and

(d) Vertical velocity components as it emerge from the region.