Two airplanes taxi as they approach the terminal. Plane 1 taxies with a speed of
ID: 2129044 • Letter: T
Question
Two airplanes taxi as they approach the terminal. Plane 1 taxies with a speed of 11m/s due north. Plane 2 taxies with a speed of 8.5m/s in a direction 20 ? north of west.
A)What is the magnitude of the velocity of plane 1 relative to plane 2? Express your answer using two significant figures.
B) What is the direction of the velocity of plane 1 relative to plane 2?Express your answer using two significant figures.
C) What are the magnitude of the velocity of plane 2 relative to plane 1?Express your answer using two significant figures.
D) What are the direction of the velocity of plane 2 relative to plane 1?Express your answer using two significant figures.
Explanation / Answer
V1 = 11j............>V2 = -8.5*cos20 i + 8.5*sin20 j = -7.99i+2.91j .......................
A) V1-V2 = +7.99i+8.09 j magnitude = 11.37/s ......................
B) tan^-1(8.09/7.99) =45.35 north of east .......................
C) V2-V1 = -7.99i-8.09 j magnitude = 11.37m/s ...........................
D ) tan^-1(-8.09/-7.99) =45.35 south of west