Study each of the following case carefully. Briefly state the principle of law and your decision.

While in the custody of the New Castle Youth Development Center (YDC), 17-year-old Betts suffered a tragic spinal cord injury while attempting to make a tackle during a football game. Following the injury, Betts sued YDC and several of its staff members, claiming that his injury resulted from a violation of his Eighth Amendment rights. Was Betts subjected to cruel and unusual punishment while playing football?