The relation between time '$$t$$' and distance '$$x$$' is $$t = \alpha x^2 + \beta x$$, where $$\alpha$$ and $$\beta$$ are constants. The relation between acceleration $$a$$ and velocity $$v$$ is:

A

$$a = -2\alpha v^3$$

B

$$a = -5\alpha v^5$$

C

$$a = -3\alpha v^2$$

D

$$a = -4\alpha v^4$$