An airplane is flying with velocity of 70km\hr in north east direction .The wind is blowing 30km\hr from north to south. What is the resultant displacement of the aeroplane in 4 h

The resultant displacement of the airplane in 4 hours is 212.8 km.

Explanation:

The components of the airplane's velocity and wind's velocity are:

Airplane:

Wind:

Now, to know the new velocity of the airplane we to find the result vector:

Now, the magnitude of the new speed of the airplane is:

Finally, after 4 hours the resultant displacement of the airplane is:

Therefore, the resultant displacement of the airplane in 4 hours is 212.8 km.

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