Trampoline made its debut as an Olympic sport in the 2000 Olympics.
Without any other information from our usual sources, we simply offer this 1965 photo of women on a trampoline in Howard Hall. Most likely one of the recreational offerings from the intramural department.
Women on trampoline in Howard Hall, 1965 (University Archives photo, click to enlarge)
A picture is worth 1,000 words.