At risk of thread drift, but to help correct some misunderstanding: V2 is not well grasped. The following relates to Class A aircraft.
Swatton's excellent 'Aircraft performance' takes one-and-a-half pages to describe V2, but perhaps the most succinct sentence in there (hoping the author doesn't minds a one-line quote) is: 'It is the lowest speed at which it is deemed safe to climb the aeroplane with one engine inoperative'.
Notably, it is neither the best angle nor best rate of climb speed; hence why some obstacles are best tackled with a substantially increased climb speed, provided runway length etc permit.