A padded basketball hoop is flexibly mounted to a backboard or other rigid vertical surface via an energy or shock absorbing connection device disposed between the backboard and the vertical surface supporting the hoop. The hoop responds to upward and downward vertical displacement by transferring energy to the shock absorbing connector, wherein the absorbing connector then urges said hoop to a substantially horizontal orientation. The hoop is particularly useful connection with play on a trampoline or other instances where players are likely to connect the rim during upward.