Two airplanes taxi as they approach the terminal. Plane 1 taxies with a speed of

Question

Two airplanes taxi as they approach the terminal. Plane 1 taxies with a speed of 13 due north. Plane 2 taxies with a speed of 8.5 in a direction 20 north of west.

What is the magnitude of the velocity of plane 1 relative to plane 2?
Express your answer using two significant figures.

What is the direction of the velocity of plane 1 relative to plane 2?
Express your answer using two significant figures.

What are the magnitude of the velocity of plane 2 relative to plane 1?
Express your answer using two significant figures.

What are the direction of the velocity of plane 2 relative to plane 1?
Express your answer using two significant figures.

Explanation / Answer

in the question unit of velocity not given . so i used S.I. Unit here A] velocity of plane 1 relative to plane 2is | V12| = v{((8.5m/s) cos20 )2 + [(13m/s)+ ((8.5m/s)sin20)]2}    = 18.24 m/s f = tan-1[ -[(13 m/s)+ ((8.5m/s)sin20)]/ (8.5 m/s)cos20] = - 63.33 c) magnitude of the velocity of plane 2relative to plane 1 is d] Direction is f' = 180 +f = 180 - 63.33 = 116.67

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