What is the new speed of the aircraft with respect to the ground?

Question

A jet airliner moving initially at 962 mph (with respect to the ground) to the east moves into a region where the wind is blowing at 362 mph in a direction 14◦ north of east.

Answer 1

There is not enough information to solve this. The initial ground velocity is the vector sum of airspeed and wind speed. We are given only the sum and not the components. (We know that 962 is not the airspeed because that is significantly higher than the speed of sound, and no commercial airliners can do that...)