An eagle flying in the air over water drops an oyster from a height of 39 meters. The distance the oyster is from the ground as it falls can be represented by the function h(t) = -4.9t 2 + 39, where t...

An eagle flying in the air over water drops an oyster from a height of 39 meters. The distance the oyster is from the ground as it falls can be represented by the function h(t) = -4.9t 2 + 39, where t is time measured in seconds. To catch the oyster as it falls, the eagle flies along a path represented by the function g(t) = -4t + 27. Part A: If the eagle catches the oyster, then what height does the eagle catch the oyster Part B: After how many seconds does it take for the eagle to catch the oyster?