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 7.20 103 m. At t = 0, the airplane is directly above you so that the vector leading from you to it is 0 = 7.20 103 m. At t = 30.0 s the position vector leading from you to the airplane is 30 = (7.34 103 + 7.20 103) m as suggested in the figure below. Determine the magnitude and orientation of the airplane's position vector at t = 55.0 s.


(A) Find the magnitude ?
(B) Find the direction ?

Explanation / Answer

Vx =( 7.34 )*10^3 / 30 = 244.67 Vy = 0 A) at t = 55 Xf = 244.67 * 55 = 13.456 * 10^3 Yf = 7.2 *10^3 magnitude = 15.26 * 10^3 B) direction = 28.15 degrees above horizontal

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