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negation
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Homework Statement
You’re a pilot beginning a 1500-km flight. Your plane’s speed is 1000 km/h, and air traffic control says you’ll have to head 15° west of south to maintain a southward course. If the flight takes 100 min, what’s the wind velocity?
The Attempt at a Solution
veffective south = vactual + vwind
veffective south = 1500kmh^-1 / 1.667hr = ( 0, -900kmh^-1 )
vactual = (1000kmh^-1 cos 255, 1000kmh^-1 sin 255) = (-258.82kmh^-1 , -965.93kmh^-1)
vwind = veffective south - vactual
therefore
(0, -900kmh^-1 ) - (-258,82kmh^-1, -965.93kmh^-1)
= (258.82kmh^-1 , 65.93kmh^-1)
= |vwind| = SQRT [ (258.82kmh^-1)^2 + (65.93kmh^-1) ^2]
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