Blocks A(mass 5.00 kgkg) and B (mass 9.00 kgkg) move on a frictionless, horizontal surface. Initially, block B is at rest and block A is moving toward it at 5.00 m/sm/s. The blocks are equipped with ideal spring bumpers. The collision is head-on, so all motion before and after the collision is along a straight line. Let +x be the direction of the initial motion of block A.

a.) Find the maximum energy stored in the spring bumpers.

b.) Find the velocity of block A when the energy stored in the spring bumpers is maximum.

c.) Find the velocity of block B when the energy stored in the spring bumpers is maximum.

d.) Find the velocity of block A after they have moved apart.

e.) Find the velocity of B after they have moved apart.

Express your answer with the appropriate units.