Even before the Hayabusa and ZX-11, we would have great fun with our 1000-1100cc sportbikes and guys with supposedly fast cars.
Now and then one would attempt to challenge out in the open. The fun was to just hold back and pace their acceleration like they had a chance, then when they started to lose steam, nail it and shoot away. We called it ego adjustment.
I ride an 06 ZX-10.