A point charge, Q = 0.3C and m = 3 10 16 kg, is moving through

A point charge, Q = −0.3μC and m = 3 × 10⁻¹⁶ kg, is moving through the field E = 30a_z V/m. Use Eq. (1) and Newton’s laws to develop the appropriate differential equations and solve them, subject to the initial conditions at t = 0, v = 3×10⁵a_x m/s at the origin. At t = 3μ_s, find

(a) The position P(x, y, z) of the charge;

(b) The velocity v;

(c) The kinetic energy of the charge.