An airplane is heading due south at a speed of 530km/h . If a wind begins blowin

Question

An airplane is heading due south at a speed of 530km/h . If a wind begins blowing from the southwest at a speed of 80.0 km/h (average).

Part A

Calculate magnitude of the plane's velocity, relative to the ground.

v= _____ km/h

Part B

Calculate direction of the plane's velocity, relative to the ground

Theta= _______ Degrees eas of south

Part C

Calculate how far from its intended position it will be after 10.0 min if the pilot takes no corrective action. [Hint: First draw a diagram.]

Delta x= _______km

Explanation / Answer

a) Windspeed North = 80 cos 45 = 56.56 kph

Windspeed West = 80 sin 45 = 56.56 kph

Plane speed ( rel ground ) = 56.56^2 + (530 – 56.56)^2 = 476.8 kph

b) sin ø = 56.56 / 476.8

ø = 6.81

c) 10 mins. is 1/6th. hr
He will be the distance the wind blows him in 10 minutes = 80 / 6 = 13.3 km

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