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A particle of charge per unit mass alpha...

A particle of charge per unit mass `alpha` is released from origin with velocity `vec v = v_0 hat i` in a magnetic field
`vec B = -B_0 hat k` for `x le sqrt 3/2 v_0/(B_0 alpha)`
and `vec B = 0` for `x gt sqrt 3/2 v_0/(B_0 alpha)`
The x-coordinate of the particle at time `t(gt pi/(3B_0 alpha))` would be

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