The voltage across 5 H inductor is $$v(t) = \begin{cases}30t^2 & t > 0\\0 & t < 0\end{cases}$$ Find the energy stored at t = 5s. Assume zero initial current.

A

312.5 kJ

B

0.625 kJ

C

3.125 kJ

D

156.25 kJ