Question

Question 1 (1 point)

Answer 1

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.$\hat j$

The velocity vector of the wind = -60.$\hat j$

Where, North is taken as the positive y or $\hat j$ 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.$\hat j$  + (-60.$\hat j$) =  210.$\hat j$  - 60.$\hat j$ = 150.$\hat j$

The resultant velocity vector = 150.$\hat j$

Therefore, the resultant velocity of the plane relative to the ground = 150 kh/h north.