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 9.00 103 m. At t = 0, the airplane is directly above you so that the vector leading from you to it is 0 = 9.00 103 m. At t = 30.0 s the position vector leading from you to the airplane is 30 = (7.46 103 + 9.00 103) m as suggested in the figure below. Determine the magnitude and orientation of the airplane's position vector at t = 75.0 s. 1)find the magnitude 2) direction

Explanation / Answer

horizontal velocity=7460/30=248.67m/s

Horizontal displacement in 75s=248.67m/s*75=18650m

Vertical displacement=9000m

Magnitude=sqrt(186502+90002)=20708m=2.07*104m

Direction=Tan-1(9000/18650)=25.76 degrees above +x axis

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