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    Projectile Motion - Magnitude and Angle

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    A light plane is headed due south with a speed relative to still air of 280 km/h. After 1 hour, the pilot notices that they have covered only 150 km and their direction is not south but southeast. What is the wind velocity?
    Find the magnitude (km/h) and angle (° north of east).

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    Solution Preview

    Let us assume the wind velocity be v km/h in a direction at an angle Q(read as theta) north of east.

    velocity of plane in south direction,
    vs = 280 - v*sin(Q) ........(1)

    and the velocity in the east direction,
    ve = v*cos(Q) ...

    Solution Summary

    This solution is provided in 266 words. It calculates velocity and net velocity and uses these equations to find magnitude and velocity of the wind.