An airplane is traveling at 80 m/s at a height of 200 m, and drops a relief package to refugees below, but the parachute attached to the package fails to open. The package was dropped with zero initial velocity relative to the plane. (a) How long does it take for the package to hit the ground? (b) How far does the package travel horizontally before it lands? (c) What is the velocity of the package when it lands? Report a vector quantity (either components, or magnitude and direction). (d) What is the speed of the package?