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

ID: 2000167 • 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 7.95 Times 10^3 m., A At t = 0, the airplane is directly above you so that the vector leading from you to it is P_0 = 7.95 Times 10^3 j m. At t = 30.0 s the position vector leading from you to the airplane is P_30 = (8.36 Times 10^- i + 7.95 Times 10^3 j) m as suggested in the figure below. Determine the magnitude and orientation of the airplane's position vector at f= 50.0 s.

Explanation / Answer

Velocity of plane = 8.36*1000/20 =278.67m/sec

X component

P50X = 8.36*1000 + ( 278.67*20 )

P50X = 139334

Y component

P50Y = 7.95*1000

direction

tan theta = Py/Px

theta = 29.7 degree

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