(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hello. I was wondering if you guys could help me tell me why i am getting this problem wrong.

Two airplanes taxi as they approach the terminal. Plane 1 taxies with a speed of 12.1 m/s due north. Plane 2 taxies with a speed of 6.3 m/s in a direction 21.2° north of west.

(a) What are the direction and magnitude of the velocity of plane 1 relative to plane 2?

Direction _______° north of east

Magnitude ________m/s

(b) What are the direction and magnitude of the velocity of plane 2 relative to plane 1?

Direction ______° south of west

Magnitude ________ m/s

2. Relevant equations

3. The attempt at a solution

I First drew out a parallelogram with the magnitude and direction of plane 1 then drew plane 2's tail to the head of plane 1 to visualize the problem. Next i used components of a vector to solve for the magnitude and direction.

plane 1 -> x = 12.1 cos 90 =0

plane 2 -> x = 6.3 cos 21.2 = 5.874

plane 1 -> y = 12.1 sin 90 = 12.1

plane 2 -> y = 6.3 sin 21.2 = 2.278

I added the vectors (5.874 m/s) x + (14.38 m/s) y

To find the magnitude of the resultant i got sq root (5.874 m/s)^2 + (14.38 m/s)^2 = 15.53

theta = inverse tan (14.378/5.8736) = 67.78 degrees

b) I was confused on this one. I thought that from plane 2 the angle would be 67.78 + 180 = 247.8 degrees with the same magnitude of 15.53?

I would greatly appreciate if someone could help me out and let me know what i did wrong. Thanks so much! :)

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Vectors componenets relative motion help

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