when a proton is released from rest in a room, it starts with an initial acceleration `a_0` towards west . When it is projected towards north with a speed `v_0,` it moves with an initial acceleration `3a_0` towards west. Find the elecrtic field and the minimum possible magnetic field in the room.

Explanation

To solve the problem step by step, we will analyze the two scenarios given for the proton's motion and derive the electric field and magnetic field accordingly.

### Step 1: Analyze the first scenario
When the proton is released from rest, it experiences an initial acceleration \( a_0 \) towards the west. Since the proton is at rest, the magnetic force acting on it is zero. The only force acting on it is the electrostatic force due to the electric field.

**Force Equation:**
\[
F_E = m \cdot a_0
...