An airplane is flying at 160km/hr 80 m above a level field. A rancher wants to drop a bale of hay such that it lands 30 m in back of the cattle (the cattle are facing away from the line of flight). The air resistance of the bale is .107*v^2(meters per seconds squared). Including the air resistance where should the rancher drop the bale so it lands 30m in back of the cattle?
Solve using manual integration and show all steps in detail and clearly.
The solution shows how to solve thedifferential equations of motion when air resistance in two dimensions is considered.