A 3.75 g marble rolling with a speed of 1.44 m/s rolls off the side of a horizontal table which is 0.572 m above the floor.

(a) (10) How far from the base of the table does the marble land?

(b) (7) What are the initial gravitational potential energy, kinetic energy, and mechanical energy of the marble at the moment is rolls off the side of the table? Take y = 0 to be at the level of the floor.

(c) (8) Use conservation of mechanical energy to find the speed of the marble at the moment right before it hits the floor. Take y = 0 to be at the level of the floor.