A solid sphere and a hollow sphere are placed at the top of a 1.5 m tall ramp that sits on top of a table. At the end of the ramp, the objects are launched off the edge of the table (having only a velocity in the horizontal direction) and hit the ground 3 s later.

The moment of inertia for a solid sphere and a hollow sphere are I = 2MR ² /5 and I = 2MR ² /3 respectively.

a). If the objects slide down the ramp (no rolling) how far do they travel from the edge of the table along the horizontal direction before hitting the ground? In this case, both objects travel the same distance.

b). If the objects roll down the ramp without slipping, how far does the solid sphere travel from the edge of the table along the horizontal direction before it hits the ground?

c). If the objects roll down the ramp without slipping, how far does the hollow sphere travel from the edge of the table along the horizontal direction before it hits the ground?