12. A competition is held between two teams of physics students, each team made up of three members, and each member having a mass of 60 kg. The teams will

take turns climbing onto a cart and jumping off. They want to see whose cart will be moved fastest by propelling it with a jump.They will start at the west end of a cart of mass 120 kg that is free to roll without friction on a level, east-west track. The plan is to run east along the cart and then jump off with a velocity of 10m/s, with respect to the cart. The first team decides that its three members will run and jump off together. The second team decides that one member will depart according to the rules, followed by the second, and then, finally, the third. Calculate the final velocity of the cart for each team, and discuss the results. (Assume that vectors to the east are positive and omit vector notation.)