Solve the all parts of given problem:
Problem: The pilot of an airplane with a speed of 280 km/hr relative to the air, wishes to fly due east from the city A to city B. If a 35 km/hr wind blows from the south to the north, and the distance between the cities is 1, 500 km,
Part A: What is the velocity (magnitude and direction) of the plane relative to the ground?
Part B: How long will the trip take?
I don't just need an answer, work and explanations/walkthrough would be much appreciated! Thanks.