Please dont take this wrongly but have you rowed?
The 'Power' mainly comes from the core and larger muscles, the arms give more of a finish! (Isn't it always thus
)
On the leg drive and power cycle, the momentum is put into the 'boat' and immediately after a clean pick up of the blade, the main mass in the 'boat' slides forward on the rails to prepare for the next power phase. Dont know the answer but I imagine the absolute fastest the boat actually accelerates and travels is probably immediately after the power phase as the main mass in the boat starts sliding backwards - obviously propelling the boat forwards! Simples....
So, coming back to the bike - the power through the pedals is negligible at the 'thrust' or finish but the momentum causes the bike to shoot or propel forwards as the mass is pushed backwards!
Again - simples