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An particle is moving in xy - plane with...

An particle is moving in xy - plane with a constant speed `v_(0)` such that its y displacement is given by
`y=alphae^-(2v_(x)/(sqrt3v_(0))),` where `v_(x)` is component of velocity along the x - axis. If at some instant x component of it velocity is positive and the slope of the tangent on its path is `-(1)/(sqrt3)`, then the displacement of the particle in y - direction at the instant is

A

`alphae^(-1)`

B

`alphae^(-2)`

C

Zero

D

`alpha^(2)e`

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The correct Answer is:
A
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