Question

A proton travels in the x direction and enters a region where a constant uniform electric field is directed in the y direction. Derive an equation which describes the x and y cooedinates of the proton in the field as a function of time t.

Answer 1

The x component of velocity will remain unchanged.

The y component of velocity will start at zero and then accelerate at a rate eE/m in the -y direction. E is the electric field. e and m are the electron charege and mass.

The x and y coordinates are the integrals of the corresponding V coordinates.

You should be able to take it from there.