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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 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.

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.

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

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

Solution provided by:
Amrit Lal Ahuja, PhD (IP)
Education
  • BEng, Allahabad University, India
  • MSc , Pune University, India
  • PhD (IP), Pune University, India
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