You are part of a search-and-rescue mission that has been called out to look for a lost explorer. You've found the missing explorer, but, as the figure shows, you're separated from him by a 200 m high cliff and a 30 m wide raging river. To save his life, you need to get a 5.0 kg package of emergency supplies across the river. Alas, you cannot throw the package hard enough to make it across. But you do happen to have a 1.0 kg rocket intended for launching flares. Improvising quickly, you attach a sharpened stick (mass = 100 g) to the front of the rocket, so that it will impale itself into the package of supplies, then fire the rocket toward the supplies. What minimum speed must the rocket (with stick) have just before impact in order to make it across the river and save the explorer's life?
If the rocket produces a constant thrust of 33 N, how far back should you stand from the package to ensure that the rocket obtains this minimum speed? Neglect friction or drag forces. Considering your answer to part B, and physics that you know, discuss some practical considerations of pulling off this MacGyver maneuver. In particular, how should you aim the rocket when launching it?