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

ID: 2161530 • Letter: Y

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 7.50 103 m. At t = 0, the airplane is directly above you so that the vector leading from you to it is Parrowbold0 = 7.50 103 jhatbold m. At t = 30.0 s the position vector leading from you to the airplane is Parrowbold30 = (7.76 103ihatbold + 7.50 103jhatbold) m as suggested in the figure below. Determine the magnitude and orientation of the airplane's position vector at t = 70.0 s.

Explanation / Answer

since from t=0 to t=30 s its y distance doesnot change so uy=0 ux=7.76 *10^3/30 =258.67 m/s X at t=70=258.67*70 =18106.67 m displacement=18106.67m i +7.50 *10^3m j

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