Airplanes A and B are flying at the same altitude and are traking the eye of hur

Question

Airplanes A and B are flying at the same altitude and are traking the eye of hurricane C. The relative velocity of C with respect to A is Vc/a=235mph 75 degrees below the negative x-axis, and the relative velocity of C with respect to B is Vc/b=260mph 40 degrees below the positive x-axis. Determine the relative velocity of B with respect to A, the velocity of A if ground-based radar indicates that the hurricane is moving at a speed of 24mph due north, the change in position of C with respect to B during a 15min interval.

Explanation / Answer

Begin with vc = v4 + vc-M and vc = v,, + vC,,, Subtracting 0 = vA + vc-M — vl, — vC,B = vim, + vc,/, — vC,B °' "B/,4 = “'4/B = "cm 1' (-"0/B) = _vC/B 1' vc/A Law of cosines: vi = v(2- + vf-M — 2v(-vC,,, cos(l80° — 15°)

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