You know your mass $($M$)$ and the mass of each of three apples you are carrying $($mo$).$ You also know your throwing speed $($vo$).$ You are standing on a frictionless surface. Compare the following cases. A$)$ You throw all three apples at the same time to your left with your throwing speed vo$,$ causing you to recoil to the right with a speed vf$.$ B$)$ You throw each apple one by one, again to the left with your throwing speed of vo$.$ Which is larger? Your final speed, vf$,$ in case A or case B$?$