A child just hit a ball while playing t-ball.
A kid just got a hit in baseball.
Just because a child has hit a ball, it does not necessarily mean he got a hit. Got a hit implies a successful play, while hitting a ball could result in an unsuccessful play like a foul ball or a fly out.
exists e1 e2 s1 x1 x2 x3.(while(e1,e2) & Theme(e2,x3) & Actor(e2,x1) & v_play(e2) & n_t-ball(x3) & a_just(s1) & Manner(e1,s1) & Theme(e1,x2) & Actor(e1,x1) & v_hit(e1) & n_ball(x2) & n_child(x1))
exists e1 s1 x1 x2 x3.(in(e1,x3) & n_baseball(x3) & a_just(s1) & Manner(e1,s1) & Theme(e1,x2) & Actor(e1,x1) & v_get(e1) & n_hit(x2) & n_kid(x1))