The Trolley problem and modern ethical theories.

The ethicists Philippa foot and Judith Jarvis Thompson pose the following problem. A runaway trolley hurtles down the track. At the end of the track are 5 strangers, who it will certainly kill if nothing intervenes but you have your hand on a switch, and if you pull the switch, you will divert the trolley into a sidetrack at the end of which is only one strangers, who it would then certainly kill? What should you do? Why? Discuss possible philosophical consideration( not just psychological ones, although you may also consider these as well as non philosophical, informal consideration such as altruism,or lines of least resistance) and do so with particular respect to Kant and Mill as exemplars respectively.