Calculating Relative Velocity: Plane and Wind Speeds | Homework Help

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SUMMARY

The discussion focuses on calculating the relative velocity of an airplane flying south at 620 km/h while affected by a southwest wind blowing at 80 km/h. The calculated ground speed of the airplane is 566.27 km/h at an angle of 5.733° east of south. For part B, the distance the airplane will drift from its intended position after 10 minutes, due to wind, is determined to be 13.3333 km. The correct approach involves calculating the wind's impact on the airplane's trajectory rather than simply subtracting velocities.

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Homework Statement


An airplane is heading due south at a speed of 620 km/h. If a wind begins blowing from the southwest at a speed of 80 km/h (average), calculate the following.

(a) the velocity (magnitude and direction) of the plane relative to the ground
(566.27) km/h (5.733)° (east of south)--- I got this one

(b) how far from its intended position will it be after 10 min if the pilot takes no corrective action. [Hint: First draw a diagram.]


Homework Equations


a2+b2 = c2


The Attempt at a Solution


I have gotten the answers to part A, but I am struggling on how to set up part B. I have tried doing (600/60)*10 to get 100 km/10 min, then subtracting it by the actual amount traveled. So what I have done is basically ((600/60)*10)-((566.27/60)*10)=94.378, but this is wrong.

Please help.
 
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I solved this. It is ((80/60) * 10) = 13.3333. This is the amount the wind throws the plane off.
 

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