1. A commercial airliner is flying at 450 mph, 20° eastof north, relative to the surrounding air. The surrounding airthough is blowing at 90 mph, 40° south of east, relative to theground. The relative humidity of the air is 70%. How fast is theairliner flying relative to the ground, and in whatdirection?
2. Kenny and Cartman are playing paintball blindfolded.They are initially standing back-to-back, facing away from eachother. Treat it as if they are standing on exactly the same spot.Kenny then runs 8 meters due west. Meanwhile, Cartman runs 2 metersdue east, turns left, and runs 6 meters 30° east of north. Theythen turn around and start shooting paintballs. Of course, they areboth blindfolded, so they aren’t coming anywhere close to hittingeach other. How far apart are they when they startshooting?
3. Cartman decides to cheat, and peaks through hisblindfold to see where Kenny is. He then turns and aims at Kenny.What direction does he need to aim in to hit Kenny? (relative tothe cardinal axes, i.e. something like 40° south ofwest)
