A boy runs in a straight line and jumps onto the edge of a merry-go-round on a playground, which is initially not spinning. The boy initially runs tangent to the edge of the merry-go-round and jumps with the same velocity, as shown. After the jump he sits down and spins with the merry-go-round. Take the center of the merry-go-round as the origin of the coordinate system and ignore any frictional effects. Which of the following statements is true for the boy plus merry-go-round system ? Select exactly one answer.

1.The total initial angular momentum is zero and total momentum is not conserved.

2.The total initial angular momentum is non-zero and total angular momentum is conserved.

3.The total initial momentum is non-zero and total momentum is conserved.

4.The total initial angular momentum is zero and total momentum is conserved.

5.The total initial momentum is zero and total momentum is conserved.

6.The total initial momentum is zero and mechanical energy is conserved