The correct answer to the question is : 10 m/s , northwest.
EXPLANATION:
As per the question, the velocity of wind V = 8 m/s towards north.
The velocity of the paper airplane is V' = 6 m/s towards west.
We are asked to calculate the actual velocity of the airplane.
By putting Pythagorean theorem, the actual velocity of the airplane is calculated as -
\(V_{net}^2 =\ V^2+V'^2\)
⇒ \(V_{net}^2=\ 6^2+8^2\)
⇒ \(V_{net}^2\ =\ 100\)
⇒ \(V_{net}=\ \sqrt{100}\ m/s\)
⇒ \(V_{net}=\ 10\ m/s\) towards northeast.
Hence, the correct answer is 10 m/s , northwest.
