A rock is shot vertically upward from the edge of the top of a tall building. The rock reaches its maximum height above the top of the building 1.60 s after being shot. Then, after barely missing the edge of the building as it falls downward, the rock strikes the ground 6.00 s after it is launched. In SI units:
(a) With what upward velocity is the rock shot
(b) What maximum height above the top of the building is reached by the rock, and
(c) How tall is the building?