Vector Kinematics Bonus Question

AI Thread Summary
The discussion revolves around solving a physics problem involving a plane's change in velocity and the resulting acceleration experienced by a pilot. Participants suggest using vector components to analyze the plane's motion, with a focus on applying kinematic equations to find the pilot's acceleration and forces. One approach involves calculating acceleration in both x and y directions, while another recommends using a velocity triangle to determine the magnitude and direction of the velocity change. Both methods are expected to yield the same results. The key takeaway is understanding how to effectively apply kinematic principles to analyze the pilot's experience during the plane's turn.
Asleky
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Homework Statement


A plane went 300m/s 35° south of west then 230m/s 20° east of north. What is the magnitude and direction of the 65kg pilot during the 12s turn?

Homework Equations


Kinematics. Vf = Vi + at, d = ViT + 0.5at^2, Vf^2 = Vi^2 + 2ad

The Attempt at a Solution


This was a question on my Physics C exam in January. Sorry, the question wording is terrible because it's from my memory as well, and I don't have any work to show. That's why all I'm asking is for a very general outline of HOW to solve this because I am at a loss. During the exam I tried to convert each vector into x and y components but I wasn't sure what to do then. I would probably use kinematics equations to solve for...whatever magnitude is, then use trig to find the direction. I'm sorry the question couldn't be more specific. :( Thanks for any hint!
 
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The pilot does not have a direction. The question was likely asking for the magnitude and direction of the mean acceleration or force during the turn. How would you find that out?
 
Orodruin said:
The pilot does not have a direction. The question was likely asking for the magnitude and direction of the mean acceleration or force during the turn. How would you find that out?

I would use change in velocity / change in time in both the x and y directions to find acceleration in x and y. F = ma, so use the acceleration and mass of the pilot to find the x and y forces and then use Pythagoras to find total force? :D
 
You can do it like that, but in this particular case I think it would be easier to just draw a velocity triangle and use the cosine and sine theorems to find out the magnitude and direction of the velocity change. Both methodsshould of course give the same answer.
 
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