Final answer:
The direction of the electric field that slows an electron with an initial speed of 5.5 x 10⁶ m/s is opposite to the electron's initial velocity, and the field's magnitude is 3.7 x 10⁶ N/C.
Step-by-step explanation:
The question involves an electron moving in a uniform electric field, which implies we are dealing with concepts in Physics, specifically electromagnetism. Since electrons are negatively charged, they move in the direction opposite to the direction of an electric field when that field is applied in the same direction as their initial motion. Therefore, for a uniform electric field that acts only to slow the motion of an electron with an initial speed of 5.5 x 10⁶ m/s, the field must have a direction that is opposite to the electron's velocity. The magnitude of the electric field is given as 3.7 x 10⁶ N/C.