I think I nailed this one.
2.5 seconds airbourne --> aerodynamic knowledge. When jumping up, exercise aerodynamics, on descent, create drag to slow descent, and you can get that wonderful 2.5 seconds airbourne.
Jumping high is "bawn". Aerodynamic knowledge is "brains".
Basketball trajectory is "brains".
Bouncing a basketball needs knowledge on conservation of momentum, impulse. Landing as well. Bouncing basketball also dependent on angle of incidence and reflection (bounce), rotational velocity of the basketball and its effect due to contact and friction with the court.
I went off topic but covered most stuff. I think I went further than most candidates.. hehe.