A particle is projected with velocity `v_0` along `x` axis . The deceleration on the particle is proportional to the square of the distance from the origin i.e , `a = alpha x^2`.The distance at which the particle stops is

Options

A. `sqrt((3 v_0)/(2alpha))`
B. `((3v_0)/(2alpha))^(1/3)`
C. `sqrt((3 v_0^2)/(2alpha))`
D. `(3(v_0)^2/(2alpha))^(1/3)`