Solving a Jet Aircraft Velocity Problem: Understanding and Correcting Mistakes

  • Thread starter ms. confused
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In summary, The jet aircraft is traveling at 310 m/s at 35° south of east and the southern component of its velocity is 178 m/s. The calculation for this involves finding the cosine of 35° and multiplying it by the magnitude of the velocity, which results in a southern component of 254 m/s. However, the correct answer is actually 178 m/s, which can be determined by correctly drawing the vector diagram and calculating the southern component of the velocity.
  • #1
ms. confused
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0
Hello! I was wondering if anyone could tell me if I was solving this Physics problem correctly:

A jet aircraft is traveling at 310 m/s at 35° south of east. What is the southern component of its velocity?


Calculation:
cos35°= x/310
310cos35= x
254 m/s = x

The real answer is supposed to be 178 m/s, but I keep getting 254 even if I solve it graphically. So...what, if anything, am I doing wrong?
 
Last edited:
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  • #2
Check your angles again. The plane is traveling at 35° south of east. You did not draw the vector diagram correctly.
 
  • #3
You are getting the eastern component. They want the southern component, which is the component of the vector pointing downwards.
 
  • #4
Oh, looks like i should have checked your diagram first. Looks like Sirus is right, the diagram is drawn incorrectly.
 

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