A large bird is flying horizontally with a horizontal velocity of 11 m/s. The bird is carrying a small fish he just scooped out of a lake. The bird is flying at a distance of 8 meters above the surface of the flat ground.

(a) Suppose the bird accidentally drops the fish. What is the initial vertical velocity of the fish and how long will it take the fish to fall to the ground 8 meters below?

(b) What are the horizontal and vertical velocities of the fish as it reaches the ground?

(c) How far horizontally does the fish travel between the time when the bird drops it until it hits the ground?