The velocity of the aircraft relative to the ground is 240 km/h North
Explanation:
We can solve this problem by using vector addition. In fact, the velocity of the aircraft relative to the ground is the (vector) sum between the velocity of the aircraft relative to the air and the velocity of the air relative to the ground.
Mathematically:
[tex]v' = v + v_a[/tex]
where
v' is the velocity of the aircraft relative to the ground
v is the velocity of the aircraft relative to the air
[tex]v_a[/tex] is the velocity of the air relative to the ground.
Taking north as positive direction, we have:
v = +320 km/h
[tex]v_a = -80 km/h[/tex] (since the air is moving from North)
Therefore, we find
[tex]v'=+320 + (-80) = +240 km/h[/tex] (north)
Learn more about vector addition:
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