PAD is entirely different from PDV. PDV has been derived from liquid fueled Phrithvi which has now been modified into solid fuel based system. But PAD in itself has been conceived as a solid fueled system. Even designers were aware of the fact that anything derived from PDV would not be enough to intercept a 5k range incoming missile.As a missile based on originally liquid rocket, it is hard to believe this missile can have a decent accelerating capability at the beginning stage even it already changed to solid engine.
I had already posted a vid regarding its development in an independent thread. But sadly for you the discussion is in hindi rather then english.