A jet airliner moving initially at 366 mph (with respect to the ground) to the east moves into a region where the wind is blowing at 127 mph in a direction 60◦ north of east. What is the new speed of the aircraft with respect to the ground?

The new speed is , in the direction   with respect to the ground

Explanation:

From the question we are told that

   The initial speed of the jet airliner is 366 mph to the east (positive x - axis )

    The direction of the wind is   toward  60° north west

     Generally the  x component of jet airliner velocity is  

      Generally the  y component of jet airliner velocity is

       Generally the  x component of winds velocity is  

        Generally the y component of winds velocity is

Generally the velocity of both the jet airliner and wind along the x-axis is

Generally the velocity of both the jet airliner and wind along the y-axis is

Generally the resultant velocity is  

=>      

=>      

 The direction is  

=>      

=>    

the correct answer is b

u=13

v=30

s/t=u+1\2at

=13+431/2

=13+265.5

=278.5