You are standing on the ground at the origin of a coordinate system. An airplane

Question

You are standing on the ground at the origin of a coordinate system. An airplane flies over you with constant velocity parallel to the x axis and at a constant height of 6.90 10^3 m. At t = 0, the airplane is directly above you so that the vector leading from you to it is 0 = 6.90 10^3 m. At t = 30.0 s the position vector leading from you to the airplane is 30 = (7.34 103 + 6.90 10^3) m as suggested in the figure below. Determine the magnitude and orientation of the airplane's position vector at t = 75.0 s.

Explanation / Answer

in 30 seconds it travelled a distance of 7.34*103 m in horizontal direction .

so in 75 seconds it can travel a distance of 18.35*103 m .

so the vector is 75=(18.35*103+6.9*103) m .

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