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 8.00 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?