An airplane is traveling at a constant horizontal speed v, at an altitude h above a lake, when a trapdoor at the bottom of the airplane opens and a package is released (falls) from the plane. The airplane continues horizontally at the same altitude and velocity. Neglect air resistance.
a) What is the distance between the package and the plane when the package hits the surface of the lake?
b) What is the horizontal component of the velocity vector of the package when it hits the lake?
c) What is the speed of the package when it hits the lake?