1. A swimmer is attempting to cross the James River. She enters the water and begins paddling at a velocity of 2m/s (north). There is a cross current in the river that travels 1.4 m/s (east). How fast will this swimmer be traveling, and in what direction compared to the horizontal will she be going?
2. The James River is 30 meters across. If the swimmer in problem #1 ended up 10 meters to the right of the point she aimed for when starting her swim, what distance did she actually travel?
3. A ball is kicked at 50 deg. from the horizontal at a velocity of 10 m/s. If the wind is blowing at 5 m/s at 10 deg. from the horizontal, how fast and in what direction will the ball be traveling?