momentum

a tennis ball and tennis racket are tied together by a massless inextensible string. the combination is thrown through air so that the tennis racket tumbles. as the racket tumbles,it sometimes pulls the string taut, while at other times string is slack. ignore air friction, but take into account the oull of the gravitty in the negative direction.

1]is the x-component of the total momentum of the tennis racket conserved? yes or no.explain

2]is the y-component of the total momentum of the tennis racket conserved? yes or no.explain

3]does the centre of mass of the tennis ball / tennsis racket system travel on a prabolic trajectory as a single particle would? yes or no. explain.