45. We take the positive direction to be to the right in the figure. The acceleration of the proton is ap= eE/mpand the acceleration of the electron is ae= –eE/me, where Eis the magnitude of the electric field, mpis the mass of the proton, and meis the mass of the electron. We take the origin to be at the initial position of the proton. Then, the coordinate of the proton at time tis xa tp=12
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