The airplane B conducts flight tests of a missile. At the instant shown, the airplane is t...

The airplane B conducts flight tests of a missile. At the instant shown, the airplane is traveling at 200 m/s relative to the earth in a circular path of 2000-m radius in the horizontal plane. The coordinate system is fixed relative to the airplane. The x axis is tangent to the plane’s path and points forward. The y axis points out the plane’s right side, and the z axis points out the bottom of the plane. The plane’s bank angle (the inclination of the z axis from the vertical) is constant and equal to 20°. Relative to the airplane’s coordinate system, the pilot measures the missile’s position and velocity and determines them to be rA/B = 1000i (m) and vA/B = 100.0i + 94.0j + 34.2k (m/s).

(a) What are the x, y, and z components of the airplane’s angular velocity vector?

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(b) What are the x, y and z components of the missile’s velocity relative to the earth?