Answer:
The resultant velocity of the plane relative to the ground is;
150 kh/h north
Explanation:
The flight speed of the plane = 210 km/h
The direction of flight of the plane = North
The speed at which the wind is blowing = 60 km/h
The direction of the wind = South
Therefore, representing the speed of the plane and the wind in vector format, we have;
The velocity vector of the plane = 210.[tex]\hat j[/tex]
The velocity vector of the wind = -60.[tex]\hat j[/tex]
Where, North is taken as the positive y or [tex]\hat j[/tex] direction
The resultant velocity vector is found by summation of the two vectors as follows;
Resultant velocity vector = The velocity vector of the plane + The velocity vector of the wind
Resultant velocity vector = 210.[tex]\hat j[/tex] + (-60.[tex]\hat j[/tex]) = 210.[tex]\hat j[/tex] - 60.[tex]\hat j[/tex] = 150.[tex]\hat j[/tex]
The resultant velocity vector = 150.[tex]\hat j[/tex]
Therefore, the resultant velocity of the plane relative to the ground = 150 kh/h north.
