An aircraft flies from London to New York at a speed of 800 km/h. Assume New York is straight west of London at a distance of 5000 km. Use a Cartesian system of coordinates, centered in London, with New York in the negative x direction. At the altitude the airplane flies there is a wind, blowing horizontally from north to south (negative y direction) at a speed of 100 km/h.
(a) What must be the direction of flight if the airplane is to arrive in New York?
(b) What is the speed in the London-New York direction?
(c) How long does it take to cover the distance from London to New York?