; (II) has moved not less than twice during the 12-month period ending on the date on which a public housing agency selects the family from a waiting list to receive assistance under this paragraph; (III) is living in a unit not accessible to a family member with a disability; (IV) is experiencing trauma or a lack of safety relating to, or fleeing or attempting to flee, domestic violence, dating violence, sexual assault, stalking, or another dangerous, traumatic, or life-threatening condition relating to violence against a member of the family or an individual in the housing situation of the family, including an instance in which the health and safety of a child is jeopardized; or (V) is living in housing conditions that are dangerous or life-threatening. (B) Competitive award (i) In general In each fiscal year for which amounts are authorized to be appropriated under subparagraph (F), the Secretary shall provide assistance to public housing agencies on a competitive basis to be used for— (I) incremental vouchers for eligible families; and (II) additional fees for the cost to the public housing agencies of providing mobility-related services to eligible families. (ii) Selection For the second fiscal year in which the Secretary provides assistance under this paragraph, and each fiscal year thereafter, in selecting public housing agencies to receive assistance under this paragraph, the Secretary shall— (I) consider the performance of public housing agencies in implementing this paragraph