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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 \( x \leq \frac{\sqrt{3}}{2} \frac{v_{0}}{B_{0} \alpha} \) and
math xmlns=http://www.w3.org/1998/Math/MathMLmover accent=truemiB/mimo→/mo/movermo=/momn0/mnmtext for /mtextmix/mimo>/momfracmsqrtmn3/mn/msqrtmn2/mn/mfracmfracmsubmiv/mimn0/mn/msubmrowmsubmiB/mimn0/mn/msubmiα/mi/mrow/mfrac/math
The \( x \)-coordinate of the particle at time \( t\left(>\frac{\pi}{3 B_{0} \alpha}\right) \) would be
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