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An airplane is flying due west at a velocity of 100 m/s. The wind is blowing out of the south at 5 m/s. What is the magnitude of the airplane’s resultant velocity?

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Answer:

Resultant velocity of the airplane is 100.12 m/s.

Step-by-step explanation:

As we can see in the picture attached an airplane is flying due west with a velocity of 100 m/s.

The wind is blowing out of south at 5 m/s then we have to calculate the resultant velocity of the airplane.

R = √(100²+ 5²) = √10000+25 = √10025 = 100.12 m/s

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The magnitude of the airplane's resultant velocity is 100.12 m/s

What is the magnitude of a resultant velocity?

The magnitude of a resultant vector can be estimated by using a Pythagorean theorem. It is the addition of the right-angled vectors given,

In the given information:

The magnitude of the resultant velocity [tex]\mathbf{R = (\sqrt{100^2 + 5^2})}[/tex]

[tex]\mathbf{R = (\sqrt{10000+ 25})}[/tex]

[tex]\mathbf{R = (\sqrt{10025})}[/tex]

R = 100.12 m/s

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