For spring break, you decide to leave town via airplane. Shortly after the airplane leaves the ground, you experience some turbulence, and your small, heavy, suitcase falls from the back of the plane. The instant the suitcase falls out of the plane, its velocity is 90 m s in the horizontal direction and it is 50m above the ground. Neglect air resistance on the suitcase as it falls.

(a) How long does it take for the suitcase to hit ground?

(b) How far does the suitcase travel horizontally before it lands?

(c) What is the velocity of the suitcase when it lands?

(d) If there is a 3m tall light pole 281.5m from the horizontal position that the suitcase left the plane, will the suitcase hit the light pole? If yes, how far up the light pole does the suitcase hit? If no, how far above the light pole does the suitcase pass by?

(e) Considering the system as the earth and the suitcase, complete the work-energy diagram below for the system for the time of the fall.

(f) Considering the system as the just the suitcase, complete the work-energy diagram below for the system for the time of the fall.