A particle of charge `q` and mass `m` is projected from the origin with velocity `v=v_0 hati` in a non uniformj magnetic fiedl `B=-B_0xhatk`. Here `v_0` and `B_0` are positive constants of proper dimensions. Find the maximum positive x coordinate of the particle during its motion.
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To solve the problem of finding the maximum positive x-coordinate of a particle projected in a non-uniform magnetic field, we can follow these steps:
### Step-by-Step Solution:
1. **Understand the Problem Setup**:
- A particle of charge \( q \) and mass \( m \) is projected from the origin with an initial velocity \( \vec{v} = v_0 \hat{i} \).
- The magnetic field is given by \( \vec{B} = -B_0 \hat{k} \), which is in the negative z-direction and varies with the x-coordinate.
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