A rock is throw from a tall building. The rock reaches its maximum height above the top of the building 1.90 s after being shot.

A rock is throw from a tall building. The rock reaches its maximum height above the top of the building 1.90 s after being shot. Then, after barely missing the edge of the building as it falls downward, the rock strikes the ground 10.0 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?