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  

=>      

=>    

  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.