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Joe
Lv 4
Joe asked in Science & MathematicsPhysics · 4 years ago

A jet heads 30° NE at 400km/h. If the jet experiences a 20 km/h crosswind blowing east, find the true velocity of the jet?

And the true speed and direction of the jet

1 Answer

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  • 4 years ago
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    Angle between jet and crosswind = 120

    Using Cosine Rule

    v^2 = 400^2 + 20^2 - 2(400)(20)cos(120)

    = 168400

    v = √168400

    = 410.3656906

    = 410.37 km/h

    sin(θ)/20 = sin(120)/410.37

    sin(θ) = 20* sin(120)/410.37

    = 0.04220705236

    θ = 2.419004545

    Direction = 32.42° NE

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