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 8.40 103 m. At t = 0, the airplane is directly above you so that the vector leading from you to it is 0 = 8.40 103 m. At t = 30.0 s the position vector leading from you to the airplane is 30 = (9.02 103 + 8.40 103) m as suggested in the figure below. Determine the magnitude and orientation of the airplane's position vector at t = 55.0 s.

Explanation / Answer

v=9.02 * 10^3 i +8.4 * 10^3 j -8.4 * 10^3 j/(30-0) =300 i at t=55 P=8400 + 300 * (55-0) =8400 j + 16500 i |P|= sqqrt(8400^2 +16500^2) =18515.13 angle =63.019 degrees

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