# A classical mechanics problem by Kirti Sharma

Classical Mechanics Level 2

The velocity of a particle moving along $$x$$-axis is given by $${v}^{2} = \alpha x-\beta{x}^{3}$$ where $$x$$ is in meters and $$\alpha$$ and $$\beta$$ are constants. $$v(x=2)=0 m/s$$ and $$a(x=2)= - 8 m/{s}^{2}$$ .
Find $$\alpha + \beta$$

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