A NiMH HEV battery pack is sized based on the following requirements: $10,000$

cycles of $60$ Wh per year for ten years, a $6\mathrm{.}5$ Ah cell with a rated voltage of

$1\mathrm{.}2$ V and an index of L $=1\mathrm{.}5.$

i$)$ What is the BOL battery pack energy storage?

ii$)$ What is the total number of cells required?

iii$)$ What is the pack voltage if the cells are all in series?

iv$)$ If the peak power is $30$ kW$,$ what is the P$/$E ratio of the battery?