Calculating Resultant Velocity of Plane: Kinematic Questions

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Homework Help Overview

The discussion revolves around calculating the resultant velocity of an airplane affected by wind. The subject area is kinematics, specifically focusing on vector addition and the effects of external forces on motion.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • The original poster expresses confusion and frustration regarding the problem setup and seeks assistance. Some participants suggest expressing the velocities as rectangular vectors and using vector addition, while others propose drawing a vector triangle and applying the cosine rule.

Discussion Status

The discussion is ongoing, with various approaches being explored. Some participants have provided guidance on methods to tackle the problem, but there is no explicit consensus on a single solution approach yet.

Contextual Notes

The original poster notes a lack of prior information from the professor, which may affect their understanding of the problem. The imposed homework rules and the context of the assignment are also under discussion.

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Homework Statement


A pilot heads his airplane due east at a speed of 75 m/s. While he is flying, a wind blows at 60 degrees North East with a constant speed of 25 m/s. What is the reultant velocity of the plane?


Homework Equations


s=(u+v/2)t, v=u+at, and s=ut+1/2at²


The Attempt at a Solution


(none as of yet... I am completely stumped... my professor just threw this onto us without giving us any previous info and I've searched everywhere for the answer, textbook, internet and i went to him and he was just like do it yourself)
 
Last edited:
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Express both velocities as rectangular vectors and use vector addition.
 
Draw a vector triangle and use the cosine rule.

resultant velocity^2 = 75^2 + 25^2 - 2(75)(25) cos 150, in degrees.
 
thank you so much mate... this site is a life saver... like a professor here helping me 24/7 much appreciated
 

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