# Rising Balloon!

A balloon starts rising from the surface of earth. The vertical component of the balloon's velocity is constant and it's equal to $$v_0$$. Due to wind, it gathers some horizontal velocity $$v_x = ay$$, where $$a$$ is a constant and $$y$$ is the height from the surface of the Earth.

The normal acceleration of the balloon as a function of $$y$$ is

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