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vfiekz [6]
4 years ago
9

An airplane is trying to fly at a speed of 300 miles per hour straight North, but a 70 miles per hour wind is blowing toward the

west. What is the speed of the plane when these two velocity vectors are added together?
Physics
1 answer:
OlgaM077 [116]4 years ago
3 0

Answer:

                          V = 308.06 miles/hour

                          θ = 13.13°  west of north.

Explanation:

Airplane speed = V₁ = 300 miles/hour    

Wind speed = V₂ = 70 miles/hour

Resultant speed of the plane = V = ?

As airplane is trying to fly straight North and wind is blowing toward the west. So the angle between airplane velocity and wind velocity is 90°.

By Pythagoras Theorem

                            V =\sqrt{V_{1}^{2}+V_{2}^{2}    }

                            V = \sqrt{300^{2}+70^{2}  }

                            V = 308.06 miles/hour

                            θ = tan⁻¹(70/300)

                            θ = 13.13°  west of north.

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